Paragon

Icon used to represent Paragons

Paragons are a special kind of upgrade in Bloons TD 6, introduced in version 27.0. They are exceptionally powerful (and exceptionally expensive) upgrades that combine major elements of all three of the tower's tier 5 upgrades. Paragons have massive damage bonuses against Boss Bloons, which were introduced in the same update, making them quintessential against high-tier bosses in Boss Bloon Events, Boss Challenges, and Boss Rushes.

Upgrading a tier 5 tower into a Paragon requires having all three tier 5 versions of the same tower on the map at the same time. For example, creating the Dart Monkey's Paragon requires having a Dart Monkey with the Ultra-Juggernaut upgrade, a Dart Monkey with the Plasma Monkey Fan Club upgrade, and a Dart Monkey with the Crossbow Master upgrade all on the map at the same time. In Sandbox mode, the option to upgrade to a Paragon does not appear unless the player has already used that Paragon at least once in another game mode. Once one of the tier 5 towers is upgraded into a Paragon, it absorbs all other towers of the same tower type and Paragon Power Totems on the map, merging them into a single tower. Paragons come with a Degree stat that affects how powerful it is, which is determined by multiple factors:

• The amount of extra cash invested on the Paragon menu plus the total amount of cash invested into the towers absorbed
• The total number of upgrade tiers on non-tier-5 towers absorbed
• The number of tier 5 towers absorbed besides the three used to create the Paragon
• The total amount of damage dealt and cash produced by all towers absorbed
• The total number of Paragon Power Totems absorbed

The maximum possible Paragon Degree is 100. With the exception of Paragon Power Totems, each factor has a limit to the amount it can contribute to the Paragon's Degree. Without Paragon Power Totems, it's only possible to create a maxed-out Paragon in Co-op because it requires having additional tier 5 towers from other players, otherwise the max degree from the rest of the requirements is 91.

Terminology and notation

• Paragons are referred to as their own upgrade tier, and internally are considered a sixth upgrade tier.
• Despite being their own upgrade tier, they are notated as 5-5-5 towers in Co-op mode and in win-screens.
• In version 28.0, Sentry Champion and its Champion Sentry sub-towers were renamed from "Sentry Paragon" and "Paragon Sentry" respectively to avoid confusion, as they are not Paragons. The Sentries of the Master Builder are now called Sentry Paragons.

Mechanics

Creation

The slider that appears when a Paragon upgrade is initiated

In order to upgrade a tier 5 tower into a Paragon, the following conditions must be met:

• The Paragon upgrade must be unlocked with tower XP. This requires unlocking all of the tower's other upgrades and costs much more XP than other upgrades.
• All three tier 5 versions of the tower must exist on the map at the same time.
• In Sandbox mode, the option to upgrade to a Paragon does not appear unless the player has already used that Paragon at least once in another game mode. This restriction does not exist in the Challenge Editor, however.
• Only one of each Paragon can exist at a time, even in Co-op.
• In Boss Bloon Events, there is a limit to the number of Paragons that each player can have at the same time (usually 4 per player, though it depends on the event).

Once the conditions are met, the option to upgrade to a Paragon appears on all of the tier 5 towers' upgrade panels. Selecting it presents the player with the option to invest more cash into the Paragon before upgrading. Once upgraded, the Paragon absorbs all other towers of the same tower type and Paragon Power Totems on the map (including those owned by other players in Co-op), merging them into a single tower.

The sell value of a Paragon does not change based on the towers absorbed; it is solely determined by the amount of cash spent on the tier 5 tower that was upgraded to create the Paragon. Thus, Paragons sell for more if they're upgraded from towers with more expensive upgrades.

Properties

• Unlike regular upgrades, Paragon upgrades cannot be discounted. Their costs only change based on the difficulty.
• Paragons cannot be buffed by anything except other Paragons or Monkey Knowledge.
  • Only Paragons are affected by the Paragon of Power Monkey Knowledge.
• Paragons are not affected by any Powers, including the Time Stop.
• Paragons cannot be relocated by Support Chinooks or Special Poperations.
• Paragons cannot be sacrificed to Sun Temples, True Sun Gods, or Adora.
• In Rogue Legends, Paragons are affected by Artifacts (including Boosts).
• Some Heroes, like Striker Jones, have abilities, e.g. Artillery Command, that affect Paragons, such as the Ballistic Obliteration Missile Bunker, while others do not, such as Admiral Brickell's Naval Tactics.

Paragon power

Paragon power is a measurement of the total "value" of the towers absorbed by the Paragon. It is determined by multiple factors of the towers it absorbed, split into four different "categories", each with a limit on how much power it can contribute. Paragon power determines the Paragon's Degree, though it is not shown directly to the player.

• Cash invested — 60,000 power max
  • 1 power per $\frac{\text{Paragon Cost}}{20,000}$ spent on towers absorbed — any tier 5 towers on the map are ignored
  • 1 power per $\frac{\text{Paragon Cost}\times 1.05}{20,000}$ spent on the Paragon cost slider (this means using the slider is slightly less cost-efficient)
    • Note: This is based on the Paragon's cost on the current difficulty, so Easy requires less cash per power and higher difficulties require more cash per power
• Tier 5 towers — 50,000 power max
  • 6,000 power per tier 5 tower absorbed — excludes the first three tier 5 towers
• Upgrades — 10,000 power max
  • 100 power per upgrade tier of absorbed towers — all absorbed tier 5 towers are ignored by this, including their crosspaths
• Damage/income — 90,000 power max
  • 1 power per 180 damage dealt by absorbed towers, as shown on their damage counters
  • 1 power per $45 generated by absorbed towers (from Merchantmen, Bloon Traps, etc.), as shown on their income counters. Note that this doesn't include extra money generated if it doesn't show it, like Pirate Lord's hook ability that gives 2x the normal amount of cash per MOAB-class bloon
• Paragon Power Totems — no upper limit
  • 2,000 power per totem absorbed

Console version

The console version, due to being based on an older build of the mobile version, uses the Paragon power system from before the rework in version 39.0. This version lacks the cost slider, gives much less value from investing cash, and gives much more value from tier 5 towers.

• Cash invested — 10,000 power max
  • 1 power per $25 spent on towers absorbed — the first three tier 5 towers are ignored
• Tier 5 towers — 90,000 power max
  • 10,000 power per tier 5 tower absorbed — excludes the first three tier 5 towers
• Upgrades — 10,000 power max
  • 100 power per upgrade tier of absorbed towers — all absorbed tier 5 towers are ignored by this, including their crosspaths
• Damage/income — 90,000 power max
  • 1 power per 180 damage dealt by absorbed towers, as shown on their damage counters
  • 1 power per $45 generated by absorbed towers (from Merchantmen, Bloon Traps, etc.), as shown on their income counters
• Paragon Power Totems — no upper limit
  • 2,000 power per totem absorbed

Degrees

The Degree of a Paragon determines its stats, affecting its attack speed, pierce, damage, and Activated Ability cooldowns (if applicable). The Degree is determined by the amount of Paragon power it has, with higher Degrees requiring exponentially more power to reach than lower Degrees. The Degree cannot be changed after the Paragon is created. Cosmetically, Paragons have different models for every multiple of 20 Degrees. The formula to determine how much power is required for each degree is:

$P=\{\begin{array}{cc}0,& D=1\\ \frac{50D^3+5025D^2+168324D+843000}{600},& 2\le D\le 99\\ 200000,& D=100\end{array}$,

where P is the power required and D is the target Degree.

Degree	Power required		Notes
	From prev.	Overall
1	0	0
2	2,000	2,000
3	324	2,324
4	342	2,666
5	361	3,027
6	381	3,408
7	400	3,808
8	420	4,228
9	441	4,669
10	462	5,131
11	484	5,615
12	506	6,121
13	529	6,650
14	553	7,203
15	576	7,779
16	600	8,379
17	625	9,004
18	650	9,654
19	676	10,330
20	702	11,032
21	729	11,761
22	757	12,518
23	784	13,302
24	812	14,114
25	841	14,955
26	870	15,825
27	900	16,725
28	930	17,655
29	961	18,616
30	993	19,609
31	1,024	20,633
32	1,056	21,689
33	1,089	22,778
34	1,122	23,900
35	1,156	25,056
36	1,190	26,246
37	1,225	27,471
38	1,261	28,732
39	1,296	30,028
40	1,332	31,360
41	1,369	32,729
42	1,406	34,135
43	1,444	35,579
44	1,482	37,061
45	1,521	38,582
46	1,561	40,143
47	1,600	41,743
48	1,640	43,383
49	1,681	45,064
50	1,722	46,786
51	1,764	48,550
52	1,806	50,356
53	1,849	52,205
54	1,893	54,098
55	1,936	56,034
56	1,980	58,014	This is the highest Degree that can be reached with just cash investment.
57	2,025	60,039
58	2,070	62,109
59	2,116	64,225
60	2,162	66,387
61	2,209	68,596	This is the highest Degree that can be reached with just cash investment and upgrade tiers.
62	2,257	70,853
63	2,304	73,157
64	2,352	75,509
65	2,401	77,910
66	2,450	80,360
67	2,500	82,860
68	2,550	85,410
69	2,601	88,011	This is the highest Degree that can be reached with just pops (16,200,000).
70	2,653	90,664
71	2,704	93,368
72	2,756	96,124
73	2,809	98,933
74	2,862	101,795
75	2,916	104,711
76	2,970	107,681	In the console version, this is the highest Degree that can be reached without Paragon Power Totems or additional tier 5 towers.
77	3,025	110,706
78	3,081	113,787
79	3,136	116,923	In the console version, this is the highest Degree that can be reached without Paragon Power Totems and one additional tier 5 tower, which, in singleplayer, is only possible for the Apex Plasma Master because of Master Double Cross.
80	3,192	120,115
81	3,249	123,364
82	3,306	126,670
83	3,364	130,034
84	3,422	133,456
85	3,481	136,937
86	3,541	140,478
87	3,600	144,078
88	3,660	147,738	This is the highest Degree that can be reached without additional towers (max pops and cash slider).
89	3,721	151,459
90	3,782	155,241
91	3,844	159,085	In other versions, this is the highest Degree that can be reached without Paragon Power Totems or additional tier 5 towers.
92	3,906	162,991	For the Apex Plasma Master and Herald of Everfrost in Mobile and Steam versions, this is the highest possible degree without Paragon Power Totems or additional tier 5 towers when Master Double Cross is enabled or when Silas is used.
93	3,969	166,960
94	4,033	170,993
95	4,096	175,089
96	4,160	179,249
97	4,225	183,474
98	4,290	187,764
99	4,356	192,120
100	7,880	200,000	Requires Paragon Power Totems to reach in single player or 9 tier 5s in Coop

Stat modifiers

Damage

The damage of the Paragon's projectiles and effects increases by 1% per Degree above 1, plus a flat 1 damage per 10 Degrees above 1. At Degree 100, the modifier changes to simply doubling damage and adding 10.

Degree	Modifier
2	+1%
3	+2%
…
10	+9%
11	+10% + 1
12	+11% + 1
…
21	+20% + 2
31	+30% + 3
41	+40% + 4
51	+50% + 5
61	+60% + 6
71	+70% + 7
81	+80% + 8
91	+90% + 9
100	+100% + 10

The damage modifier can be represented with this formula:

$\text{Damage}=\{\begin{array}{cc}\text{Base Damage}\times (1+0.01(\text{Degree}-1))+\lfloor \frac{\text{Degree}-1}{10}\rfloor & \text{for Degree}<100\\ 2\times \text{Base Damage}+10& \text{for Degree}=100\end{array}$

Damage bonuses

All damage bonuses of the Paragon's projectiles and effects (bonus MOAB damage, bonus Ceramic damage, bonus boss damage, etc) uses the same formula as base damage, except without the flat damage additions. They increase by 1% per Degree above 1, and at Degree 100, change to simply doubling damage. (Paragons have a second Degree-based damage modifier against Boss Bloons on top of this, see #Boss damage for more information).

Degree	Modifier
2	+1%
3	+2%
…
98	+97%
99	+98%
100	+100%

The damage modifier can be represented with this formula:

$\text{Bonus Damage}=\{\begin{array}{cc}\text{Base Bonus Damage}\times (1+0.01(\text{Degree}-1))& \text{for Degree}<100\\ 2\times \text{Base Bonus Damage}& \text{for Degree}=100\end{array}$

Cooldown

The cooldowns of all the Paragon's attacks and Activated Abilities (if any) are reduced based on Degree, increasing the Paragon's attack speed and ability uptime at higher Degrees. The same formula is used for both attack cooldowns and ability cooldowns:

$\text{Cooldown}=\frac{\text{Base Cooldown}}{1+0.01\times \mathrm{round}(\sqrt{50\times (\text{Degree}-1)},1)}$

In other words, it lowers cooldowns more at higher Degrees, but it has diminishing returns. The difference in cooldown between Degrees 99 and 100 is much smaller than the difference between Degrees 1 and 2.

Note that Activated Abilities start with full cooldown after creating the Paragon and are affected by Global Ability Cooldowns Monkey Knowledge and attack speed is affected by Veteran Monkey Training and Paragon of Power Monkey Knowledge.

Degree	Modifier
2	93.3707%
3	90.9091%
4	89.1266%
5	87.6424%
6	86.3558%
7	85.2515%
8	84.246%
9	83.3333%
10	82.5083%
11	81.6993%
12	80.9717%
13	80.3213%
14	79.6813%
15	79.0514%
16	78.4929%
17	77.9423%
18	77.3994%
19	76.9231%
20	76.4526%
21	75.9878%
22	75.5287%
23	75.0751%
24	74.6826%
25	74.2942%
26	73.8552%
27	73.4754%
28	73.1529%
29	72.7802%
30	72.4113%
31	72.0981%
32	71.736%
33	71.4286%
34	71.1238%
35	70.8215%
36	70.5219%
37	70.2247%
38	69.9301%
39	69.6379%
40	69.3481%
41	69.1085%
42	68.8231%
43	68.5871%
44	68.306%
45	68.0735%
46	67.8426%
47	67.5676%
48	67.3401%
49	67.1141%
50	66.8896%
51	66.6667%
52	66.4452%
53	66.2252%
54	66.0066%
55	65.7895%
56	65.6168%
57	65.4022%
58	65.189%
59	64.9773%
60	64.8088%
61	64.5995%
62	64.433%
63	64.2261%
64	64.0615%
65	63.857%
66	63.6943%
67	63.5324%
68	63.3312%
69	63.1712%
70	63.012%
71	62.8141%
72	62.6566%
73	62.5%
74	62.3441%
75	62.1891%
76	62.0347%
77	61.8812%
78	61.7284%
79	61.5764%
80	61.4251%
81	61.2745%
82	61.1247%
83	60.9756%
84	60.8273%
85	60.6796%
86	60.5327%
87	60.3865%
88	60.241%
89	60.1323%
90	59.988%
91	59.8444%
92	59.7015%
93	59.5948%
94	59.453%
95	59.312%
96	59.2066%
97	59.0667%
98	58.9623%
99	58.8235%
100	58.6854%

Pierce

The pierce of the Paragon's projectiles increases by 1% per Degree above 1, plus a flat 0.1 pierce per Degree above 1. At Degree 100, the modifier changes to simply doubling pierce and adding 10.

Degree	Modifier
2	+1% + 0.1
3	+2% + 0.2
…
98	+97% + 9.7
99	+98% + 9.8
100	+100% + 10

The pierce modifier can be represented with this formula:

$\text{Pierce}=\{\begin{array}{cc}\lfloor \text{BasePierce}\times (1+0.01(\text{Degree}-1))\rfloor +0.1(\text{Degree}-1)& \text{for Degree}<100\\ 2\times \text{Base Pierce}+10& \text{for Degree}=100\end{array}$

Damage to Boss Bloons

All Paragons deal 25% more damage to Boss Bloons for every 20 Degrees they have. This is in addition to most Paragons' projectiles and damage over time effects having an inherent damage bonus against Boss Bloons (which is different for each projectile and effect, and scales with its Degree), and this multiplies the total damage dealt to Boss Bloons by the Paragon. In other words, the extra damage the multiplier grants is based on the sum of the attack's base damage, bonus damage to MOAB-Class, bonus damage to bosses, and any other bonuses the boss may be vulnerable to (such as Phayze being affected by the bonus damage to Camo Bloons from the Ascended Shadow). It also applies to projectiles and effects that do not inherently deal bonus damage to bosses, such as the Glaive Dominus's MOAB shredding effect. On top of this, Elite Bosses take double damage from Paragons.

Degree	Normal multiplier	Elite multiplier
1-19	×1	×2
20-39	×1.25	×2.5
40-59	×1.5	×3
60-79	×1.75	×3.5
80-99	×2	×4
100	×2.25	×4.5

Takeaways

• Without Paragon Power Totems, the only way to max out a Paragon's power is to have at least seven additional tier 5 towers of the same tower type (nine in the console version), which is only possible in Co-op mode. For most towers, this requires four players, though the Dart Monkey only requires three players if one player has an extra Crossbow Master from Master Double Cross or all players are using Silas to upgrade a fourth Ice Monkey tier 5 each.
  • In the console version, three extra Crossbow Masters are required, so all three players must have the Monkey Knowledge.
  • Without any additional Tier 5 towers, the maximum Degree is 91.
• It takes 3 Paragon Power Totems to substitute the power contribution of one tier 5 tower, and 9 totems to get a degree 100.
• Higher Degrees require exponentially more power than lower Degrees and don't give as much of an attack speed bonus as lower Degrees, so going for higher Degrees has diminishing returns. In events, it's generally more efficient to go for multiple mid-Degree Paragons than to try to max out Paragons as much as possible.
• Paragons receive significant damage boosts against bosses for every 20 Degrees they have, so it's most cost-efficient to reach a multiple of 20 Degrees without going over. The difference in damage output between Degree 19 and Degree 20 is much bigger than between Degree 20 and Degree 21, for example.
• The sell value of a Paragon is based solely on the amount of cash spent on the tier 5 tower it was upgraded from, so if one plans to sell a Paragon, it's best to use the most expensive tier 5 tower as the basis.

Degree	Power required	Damage	Damage bonuses	Pierce	Cooldown	Total damage to bosses
						Normal	Elite
10	5,131	+9%	+9%	+9% + 0.9	82.5083%	×1	×2
20	11,032	+19% + 1	+19%	+19% + 1.9	76.4526%	×1.25	×2.5
30	19,609	+29% + 2	+29%	+29% + 2.9	72.4113%	×1.25	×2.5
40	31,360	+39% + 3	+39%	+39% + 3.9	69.3481%	×1.5	×3
50	46,786	+49% + 4	+49%	+49% + 4.9	66.8896%	×1.5	×3
60	66,387	+59% + 5	+59%	+59% + 5.9	64.8088%	×1.75	×3.5
70	90,664	+69% + 6	+69%	+69% + 6.9	63.012%	×1.75	×3.5
80	120,115	+79% + 7	+79%	+79% + 7.9	61.4251%	×2	×4
90	155,241	+89% + 8	+89%	+89% + 8.9	59.988%	×2	×4
100	200,000	+100% + 10	+100%	+100% + 10	58.6854%	×2.25	×4.5

List of Paragons

Icon	Text	Cost	XP to unlock	Introduced
	Apex Plasma Master Fill the area with Bloon shredding plasma juggernaut balls, leaving nothing behind...	$150,000	500,000	Version 27.0
	Glaive Dominus The Bloons will look upon my Glaives, and they will know fear.	$375,000	500,000	Version 27.0
	Ascended Shadow The complete assassin package for dealing with any Bloon threat.	$500,000	500,000	Version 28.0
	Navarch of the Seas The greatest thing ever to float on water.	$550,000	750,000	Version 29.0
	Master Builder Monkey engineering developed to perfection. Can Overclock other Paragons, and creates three Mega Sentries that can build their own sentries.	$600,000	750,000	Version 32.0
	Goliath Doomship A flying shadow of darkness spells Bloon obliteration.	$900,000	1,000,000	Version 33.0
	Magus Perfectus Only the most perfect Wizard can channel the ancient powers of the beyond.	$800,000	1,000,000	Version 37.0
	Nautic Siege Core Unfathomable range, power, and synergies with other Monkey Towers and Heroes put all Bloons under assault.	$400,000	1,000,000	Version 41.0
	Crucible of Steel and Flame Spinning blades of Bloon immolation!	$200,000	500,000	Version 46.0
	Mega Massive Munitions Factory A factory of explosive spike Bloon annihilation.	$750,000	1,000,000	Version 48.0
	Ballistic Obliteration Missile Bunker Cluster explosions, anti-MOAB explosions, Bloon stunning explosions, knockback explosions. BOMB has it all!	$650,000	750,000	Version 51.0
	Herald of Everfrost As the eternal frost descends and cold reigns supreme, even the baddest of Bloons are helpless against its icy grasp.	$300,000	750,000	Version 52.0
	Root of all Nature That from which all life branches.	$475,000	750,000	Version 54.0

Update history

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Version 30.0

•  All Paragon Ability Cooldowns will now increase rate in a similar formula to attack speed

Version 33.0

•  Maximum of 3 Paragons can be placed in one game
•  Paragon towers should be correctly sold when their supporting arctic wind platform is removed (bug fix)

Version 33.1

•  Base game paragon count restriction increased to 4 in response to feedback that with a restriction having support for 4 player co-op to each push for a paragon is more fair

Version 36.0

•  Resolved an issue that could prevent paragons from sacrificing their T5 towers (bug fix)

Version 37.0

•  Paragon art state changes moved from 22/42/62/82 to 20/40/60/80

Version 39.0

•  Paragon Boss damage multiplier each 20 degrees increased ― 20% → 25%
•  Resolved a bug that was benefitting different paragons boss damage by differing amounts
  • Note: Net nerf for most paragons
•  Resolved an issue preventing other Paragon damage bonuses (like Ceramic/Camo) from scaling well with degrees
•  Building any Paragon in a real game now will now unlock that Paragon’s upgrade for use in sandbox

Version 46.0

•  Flat pierce bonus per degree reduced ― +1 pierce per degree → +0.1 pierce per degree

Version 51.0

• Paragon limit is now applied per player and not globally

Version 53.0

•  Resolved an issue where Tier 5 Towers were contributing their cost value in addition to their T5 value to the resulting tower (bug fix)
  • Note: Maximum degree possible in single player unchanged (92)

Related achievements

	Apotheosis Upgrade to a Monkey Paragon Tower Reward(s):  Tier 3 ×3

	Perfect Paragon Paragon of Paragons Reward(s):  1,000

	Heavy Investment Invest at least $401,626 extra when creating any Paragon Reward(s):  3-0-0 Dart Monkey,  0-3-0 Dart Monkey,  0-0-3 Dart Monkey,  100

Gallery

This article or section needs more images. The editor who added this notice elaborates: Teaser images, screenshots, icons, etc

• 
  Recently upgraded Apex Plasma Master at Degree 1

See also

• VTSG
• Wizard Lord (BTD5)

External links

• Paragon degree calculator
• Paragon degree calculator for the console version