Googology Wiki
Advertisement
Googology Wiki

Quadruple Centifact is the fourth mixed factorial of 100 or mixed factorial of triple centifact, written as 100**** or 100*4 in multiple mixed factorials. The term was coined by SpongeTechX. It is smaller than {10,10,{10,10,{10,10, {100,101,97}}}} in BEAF, and it is therefore smaller than a boogoltriplex.

Etymology

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

Approximations in other notations

Notation Approximation
Bird's array notation \(\{10,10,\{10,10,\{10,10,\{100,101,97\}\}\}\}\)
BEAF \(\{10,10,\{10,10,\{10,10,\{100,101,97\}\}\}\}\)
Graham Array Notation \([10,10,[10,10,[10,10,[100,101,97]]]]\)
Strong Array Notation \(s(10,10,s(10,10,s(10,10,s(100,101,97))))\)
Hyper-E notation \(E100\#\#97\#4\)
Chained arrow notation \(100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow 97)))\)
Hyperfactorial array notation \(104![1]![1]![1]![1]\)
Fast-growing hierarchy \(f_{\omega}(f_{\omega}(f_{\omega}(f_{98}(100))))\)
Hardy hierarchy \(H_{\omega^\omega3+\omega^{98}}(100)\)
Slow-growing hierarchy \(g_{\varphi(\varphi(\varphi(\varphi(96,0),0),0),0)}(100)\)

Sources

SpongeTechX's Googology World

See also

Advertisement