List of powers of 3

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This page contains the entire googolisms that are powers of 3 including the unnamed numbers that used to have articles on the Googology Wiki. The former content of these articles is also included here.

List of powers of 3

Class 0 and 1

• 3
• 9
• 27
• 81
• 243
• 729 is the square of 27, the cube of 9 and the sixth power of 3. It is also the number of codewords in the ternary Golay code, and the larger number in the first Smith brother pair.
• Ternary-pipsqueak, 2,187
• Tetrafact, 6,561
• Fugathree, 3⁹ = 19,683
• Ternary-guppyspeck, 3¹⁰ = 59,049

Class 2, 3, 4 and 5

• Ternary-small fry, 3¹⁵ = 14,348,907
• Fznine, 9⁹ = 3¹⁸ = 387,420,489
• Ternary-guppy / ternary-minnowcrumb, 3²⁰ = 3,486,784,401
• Ternary-minnowchunk, 3²⁴ = 282,429,536,481
• Ternary-minnow / ternary-gobyspeck / Ternary-Gooqtol, 3²⁵ = 847,288,609,443
• Megafugathree / tribo / Heads-Bi-3-primol, 7,625,597,484,987
• Ternary-gobycrumb, 3³⁰ = 205,891,132,094,649
• 5,559,060,566,555,523 is a positive integer equal to 3³³. It is notable in computer science for being the largest power of 3 which can be represented exactly in the double floating-point format (which has a 53-bit significand).
• Ternary-gogol, 3⁵⁰
• Pinto bean, 3⁶⁷
• Ternary-ogol, 3⁸⁰ ~ 1.478088*10³⁸
• Ternary-googolspeck, 3⁹⁰ ~ 8.727964*10⁴²
• Ternary-googol, 3¹⁰⁰ ~ 5.153775*10⁴⁷
• Nonary-googol / novary-googol, 9¹⁰⁰ = 3²⁰⁰ ~ 2.65614*10⁹⁵
• Ternary-Goomol, 3^1,000 ~ 1.322*10⁴⁷⁷
• Googgool, (3⁵⁰)⁵⁰ = 3^2,500 ~ 6.3553108734248*10^1,192
• Ternary-Goomyrol, 3^10,000 ~ 1.631*10^4,771
• Fuganine, 9⁹⁸ = 3^2*316 ~ 1.1754×10^41,077,011
• ³9 / Ulysses number, 9⁹⁹ = 3^2*318 ~ 4.28124×10^369,693,099
• Ternary-Googolplex, 3³¹⁰⁰
• 27^86! is approximately equal to \(10^{3.4677786446 \times 10^{130}}\). This number is given in Robert Munafo's Notable Properties of Specific Numbers as an example of a calculation that can be performed easily using Hypercalc. It is also the the number shown as default in the input line of HyperCalc Javascript.
• Ternary-Dooqnol, 3↑↑5
• Pentafact, 6561↑↑5

Tetration level

• Megafuganine, 9↑↑9
• Ternary-Doodcol, 3↑↑10
• Ternary-Doogol, 3↑↑100
• Ternary-Doomol, 3↑↑1,000
• Tritri, 3↑↑↑3
• Ternary-Googolduex, 3↑↑3¹⁰⁰

Up-arrow notation level

• Ternary-Doogolplex, 3↑↑3↑↑100
• Grand Mega, 3[5] in Steinhaus-Moser Notation
• Great tritri, 3↑↑↑4
• Ternary-Tooqnol, 3↑↑↑5
• Hexafact, 6* = (6,561↑↑5)↑↑↑6
• Ternary-Toodcol, 3↑↑↑10
• Nonomega, 9[5] in Steinhaus-Moser Notation
• Ternary-Toogol / Ternary-gootol, 3↑↑↑100
• Ternary-Googoltrex, 3↑↑↑3¹⁰⁰
• Grahal, 3↑↑↑↑3 or g₁
• Grand Megision, 3[5][5] in Steinhaus-Moser Notation
• Grand Megisiduon / A-oogra, 3[6] in Steinhaus-Moser Notation
• Grand Megisitruon, 3[5][5][5][5] in Steinhaus-Moser Notation
• Grand Megisiquadruon, 3[5][5][5][5][5] in Steinhaus-Moser Notation
• A-ooennea, 9[6] in Steinhaus-Moser Notation
• Ternary-Tetoogol, 3↑↑↑↑100
• Tripeno, 3↑↑↑↑↑3
• A-oogratiplex, 3[6][6] in Steinhaus-Moser Notation
• Betogiga, 3[7] in Steinhaus-Moser Notation
• A-oogratitriplex, 3[6][6][6][6]
• A-oogratiquadruplex, 3[6][6][6][6][6]
• A-oogratiquintiplex, 3[6][6][6][6][6][6]
• Betoxota, 9[7] in Steinhaus-Moser Notation
• Trihexo, 3↑↑↑↑↑↑3
• Brantogiga, 3[7][7]
• Flexitria / breatogiga, 3[8], 3 in a octagon
• Bigiatogiga, 3[7][7][7][7]
• Biquadriatogiga, 3[7][7][7][7][7]
• Biquintiatogiga, 3[7][7][7][7][7][7]
• Hughal, 3↑⁷3
• Faitera, 3[8][8]
• Oktria / funnytria, 3[9]
• Ftetritria, 3[8][8][8][8]
• Fpentitria, 3[8][8][8][8][8]
• Fhexitria, 3[8][8][8][8][8][8]
• Geiggeim, (3↑⁷1,000)↑⁷1,000
• Trienn, {9,9,9}
• Primitol, s(3,2,2,2) = {3,3,27}
• Centifact, 100*

Higher numbers

• Tritriplex, {3,3,{3,3,3}}
• Graham grahal, g₂
• Graham's number, g₆₄
• Stasplex, g₁₀₀
• Forcal, g_1,000,000
• Conway's Tetratri / primibolplex, 3→3→3→3 ~ g_g27
• Force forcal, g_g1,000,000
• Terto-Grahal, G(G(G(G(1))))
• Suporcal, Forcal(1,000,000) = Forcal₂(1)
• Hypergraham, G^G(64)
• Megocal, Forcal₂(1,000,000) = Forcal₃(1)
• Grand tritri, {3,3,3,2}
• Hypercal, Forcal₃(1,000,000) = Forcal₄(1)
• Tetentri, s(3,3,3,3)
• Tetratri, {3,3,3,3}
• Chainol, s(3,2,2,1,2)
• Chainolplex, s(3,3,2,1,2)
• Chainbol, s(3,2,3,1,2)
• Chainbolplex, s(3,3,3,1,2)
• Pententri, s(3,3,3,3,3)
• Pentatri, {3,3,3,3,3}
• Choinol s(3,2,2,1,1,2)
• Hexatri, {3,3,3,3,3,3}
• Ultatri, {3,27(1)2}
• Dupertri, {3,3(1)2}
• Latri, {3,3,3(1)2} = {3,3(1)3} = {3,2(1)4}
• Dimentri, {3,3(3)2}