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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!