Pentafact

Pentafact is the mixed factorial of 5, written as 5*. The term was coined by SpongeTechX. It is equal to \(6,561 \uparrow\uparrow5\) or 6,5616,5616,5616,5616,561.SpongeTechX's Googology World
==Etymology==
The name of this number is based on Greek prefix "penta-" and the word "factorial".
==Approximations in other notations==
Notation 	Approximation
Scientific notation 	\(10^{10^{10^{5.273955688 \times 10^{25,043}}}}\)
Bird's array notation 	\(\{6561,5,2\}\) (exact)
BEAF 	\(\{6561,5,2\}\) (exact)
Graham Array Notation 	\([6561,5,2]\) (exact)
Strong Array Notation 	\(s(6561,5,2)\) (exact)
Hyper-E notation 	\(E(6,561)6,561\#4\) (exact)
Chained arrow notation 	\(6,561 \rightarrow 5 \rightarrow 2\) (exact)
Hyperfactorial array notation	between \(7!1\) and \(8!1\)
Nested Factorial Notation 	\(9![2]\)
Fast-growing hierarchy 	\(f^5_2(12)\)
Hardy hierarchy 	\(H_{\omega^25}(6,561)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^{\omega^{\omega}}}}}(6,561)\) (exact)
==Sources==
==See also==
Category:Numbers
Category:Numbers by SpongeTechX
Category:Factorial numbers
Category:Class 5
Category:Powers of 3