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Megafugasix is equal to 6↑↑6, or 6 tetrated to 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 Edit

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 Edit

Notation Approximation
Scientific notation \(10^{10^{10^{2.0692\times10^{36,305}}}}\)
Up-arrow notation \(6 \uparrow\uparrow 6, 6 \uparrow\uparrow\uparrow 2\) (both exact)
BEAF \(\{6,6,2\}, \{6,2,3\}\) (both exact)
Bird's array notation \(\{6,6,2\}, \{6,2,3\}\) (both exact)
Hyper-E notation \(E(6)1\#6\) (exact)
Chained arrow notation \(6\rightarrow6\rightarrow2, 6\rightarrow2\rightarrow3\) (both exact)
Hyperfactorial array notation \((((10,160!)!)!)!\)
Fast-growing hierarchy \(f_2(f_2(f_2(f_2(f_2(13)))))\)
Hardy hierarchy \(H_{\omega^25}(13)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(6)\) (exact)

Sources Edit

  1. Numbers from linear array notation | Steps Toward Infinity!

See also Edit

Numbers named with the fuga- family of prefixes

Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · gargoogol · gargoogolplex
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fzeleven · fztwenty · fzhundred · fzgoogol · fzmillion · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgargantugoogolplex
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagargantugoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugaeleven · megafugatwelve · megafugathirteen · megafugafourteen · megafugafifteen · megafugasixteen · megafugaseventeen · megafugaeighteen · megafuganineteen · megafugatwenty · megafugathirty · megafugaforty · megafugafifty · megafugasixty · megafugaseventy · megafugaeighty · megafuganinety · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex
Booga-: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaseven · boogaeight · booganine · boogaten · boogahundred · boogagoogol · boogagoogolplex