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Megafugafive is equal to \(5\uparrow\uparrow5\), or 5 tetrated to 5. It is approximately equal to 1010102184 or E2184#3 in Hyper-E notation.

Googology Wiki user Hyp cos calls this number pentbo, and it's equal to s(5,5,2) in strong array notation.[1]

This number is also equal to s(5,2,3), s(5,2,1,2), and s(5,2{2}2).

Etymology Edit

The name "megafugafive" is formed by adding the megafuga- prefix to 5.

The name "pentbo" is based on the word "penta" (Greek for five), meaning a base-5 number.

Approximations Edit

Notation Approximation
Scientific notation \(10^{10^{1.33574\times10^{2184}}}\)
BEAF \(\{5,5,2\}\) (exact)
Hyper-E notation \(E(5)1\#5\) (exact)
Chained arrow notation \(5\rightarrow5\rightarrow2\) (exact)
Hyperfactorial array notation \(((870!)!)!\)
Fast-growing hierarchy \(f_2(f_2(f_2(f_2(9))))\)
Hardy hierarchy \(H_{\omega^24}(9)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(5)\) (exact)

Sources Edit

  1. Numbers from linear array notation | Steps Toward Infinity!
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 · fzhundred · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgargantugoogolplex
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagargantugoogolplex
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex
Booga-: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaseven · boogaeight · booganine · boogaten · boogahundred · boogagoogol · boogagoogolplex

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