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Megafugafive is equal to $$5\uparrow\uparrow5$$, or 5 tetrated to 5. It is approximately equal to $$10^{10^{10^{2,184}}}$$ or $$E2,184\#3$$ 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 in other notations Edit

Notation Approximation
Scientific notation $$10^{10^{1.33574\times10^{2,184}}}$$
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!