The Bifactor is equal to 100!2 = (((....((100!)!)!....)!)!)! with 100 !s using Extensible ! Notation. The term was coined by Yabuszko.[1] This number is comparable to grangol and giggol.

Etymology

The name of this number is based on Greek prefix "bi-" and the factor.

Approximations

Notation Approximation
Arrow notation \(82 \uparrow\uparrow 101\)
Chained arrow notation \(82 \rightarrow 101 \rightarrow 2\)
BEAF \(\{82,101,2\}\)
Hyper-E notation \(E160\#100\)
Hyperfactorial array notation \(104!1\)
Strong array notation \(s(82,101,2)\)
Nested factorial notation \(100![2]\)
Fast-growing hierarchy \(f_3(100)\)
Hardy hierarchy \(H_{\omega^3}(100)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(101)\)

Sources

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