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.[1]
- 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, 31,000 ~ 1.322*10477
- Googgool, (350)50 = 32,500 ~ 6.3553108734248*101,192
- Ternary-Goomyrol, 310,000 ~ 1.631*104,771
- Fuganine, 998 = 32*316 ~ 1.1754×1041,077,011
- ³9 / Ulysses number, 999 = 32*318 ~ 4.28124×10369,693,099
- Ternary-Googolplex, 33100
- 2786! 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.[2] It is also the the number shown as default in the input line of HyperCalc Javascript.[3]
- 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, g1,000,000
- Conway's Tetratri / primibolplex, 3→3→3→3 ~ gg27
- Force forcal, gg1,000,000
- Terto-Grahal, G(G(G(G(1))))
- Suporcal, Forcal(1,000,000) = Forcal2(1)
- Hypergraham, GG(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}