Megafugasix is equal to 6↑↑6. It is approximately equal to \(10^{10^{10^{10^{36,305}}}}\) or \(E36,305\#4\) in Hyper-E notation.
Googology Wiki user Hyp cos calls this number hexabo, and it's equal to s(6,6,2) in strong array notation.[1]
This number is also equal to s(6,2,3), s(6,2,1,2), s(6,2{2}2), and 3$ (the superfactorial of 3).
Etymology[]
The name "megafugasix" is formed by adding the megafuga- prefix to 6.
The name "hexabo" is based on the word "hexa" (Greek for six), meaning a base-6 number.
Approximations[]
| Notation | Approximation |
|---|---|
| Arrow notation | \(6 \uparrow\uparrow 6, 6 \uparrow\uparrow\uparrow 2\) (both exact) |
| Bowers' Exploding Array Function | \(\{6,6,2\}, \{6,2,3\}\) (both exact) |
| Bird's array notation | \(\{6,6,2\}, \{6,2,3\}\) (both exact) |
| Chained arrow notation | \(6\rightarrow6\rightarrow2, 6\rightarrow2\rightarrow3\) (both exact) |
| Hyper-E notation | \(E(6)1\#6\) (exact) |
| Hyperfactorial array notation | \((((10,160!)!)!)!\) |
| Scientific notation | \(10^{10^{10^{2.0692\times10^{36,305}}}}\) |
| Fast-growing hierarchy | \(f^5_2(13)\) |
| Hardy hierarchy | \(H_{\omega^25}(13)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_0}(6)\) (exact) |
Sources[]
See also[]
Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · garmillion · gargoogol · gareceton · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzthirty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex · megafugagrangol
Extensions:
Booga-:: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten · boogahundred · boogagoogol · boogagoogolplex
Gag-:: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex