Tetrafact

Tetrafact is the mixed factorial of 4, written as 4*, and equal to \(((1+2) \times 3)^{4} = 6,561\).SpongeTechX's Googology World The term was coined by SpongeTechX.
It is also an output of the Exploding Tree Function: \(E(3) = 6,561\). It is also the number of ways to add 11 ordinals.
== Etymology ==
The name of this number is based on the Greek prefix "tetra-" and the word "factorial".
== Approximation ==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(6.561\times10^3\)	\(6.561\times10^3\)
Arrow notation 	\(3\uparrow8\) 	\(3\uparrow8\)
Steinhaus-Moser Notation 	5[3] 	6[3]
Copy notation 	5[4] 	6[4]
Taro's multivariable Ackermann function	A(3,9) 	A(3,10)
Pound-Star Notation 	#*(57)*2 	#*(3,5)*2
BEAF 	{3,8} 	{3,8}
Bird's Array Notation 	{3,8} 	{3,8}
Graham Array Notation 	[3,8] 	[3,8]
Strong array Notation 	s(3,8) 	s(3,8)
Hyper-E notation 	E[3]8 	E[3]8
Bashicu matrix system 	(0)[81] 	(0)[81]
Hyperfactorial array notation 	7! 	8!
Fast-growing hierarchy 	\(f_2(9)\) 	\(f_2(10)\)
Hardy hierarchy 	\(H_{\omega^2}(9)\)	\(H_{\omega^2}(10)\)
Slow-growing hierarchy 	\(g_{\omega^4}(9)\)	\(g_{\omega^4}(9)\)
== Sources ==
== See also ==
Category:Numbers
Category:Class 1
Category:Factorial numbers
Category:Numbers by SpongeTechX
Category:Numbers with 4 to 6 digits
Category:Powers of 3