Triple Centifact is the third mixed factorial of 100 or mixed factorial of double centifact, written as 100*** or 100*3 in multiple mixed factorials. The term was coined by SpongeTechX. It is smaller than \(\{10,10,\{10,10, \{100,101,97\}\}\}\) in BEAF, and it is therefore smaller than a boogolduplex.

Etymology

The name of this number is based on the word triple and the number centifact.

Approximations in other notations

Notation Approximation
Bird's array notation \(\{10,10,\{10,10,\{100,101,97\}\}\}\)
BEAF \(\{10,10,\{10,10,\{100,101,97\}\}\}\)
Graham Array Notation \([10,10,[10,10,[100,101,97]]]\)
Strong Array Notation \(s(10,10,s(10,10,s(100,101,97)))\)
Hyper-E notation \(E100\#\#97\#3\)
Chained arrow notation \(100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow 97))\)
Hyperfactorial array notation \(104![1]![1]![1]\)
Fast-growing hierarchy \(f_{\omega}(f_{\omega}(f_{98}(100)))\)
Hardy hierarchy \(H_{\omega^\omega2+\omega^{98}}(100)\)
Slow-growing hierarchy \(g_{\varphi(\varphi(\varphi(96,0),0),0)}(100)\)

Sources

SpongeTechX's Googology World

See also

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