User blog comment:TySkyo/The Super-duper Big and Huge Number/@comment-24920136-20160803181127

Hello there and welcome to googology wikia your number does not seem to beat grahams number Grahams number is defined in 64 steps beginning with g1 = 3↑↑↑↑3

g2 = 3 ↑...↑ 3 with g1 arrows

g3 = 3 ↑...↑ 3 with g2 arrows

...

g64 = grahams number

Ill walk you through the main bits of the comparison:

1.- sf(n) = n!^^n!

2.- n! < n^n

3.- (n^^k)^(n^^k) < (n^^k+2)

4.- (n^^k)^^(n^^k) < n^^^k for all n 10^^^8

G2 = 3..G1..3 >  a(10^^^8,10^^^8)

G3 = 3..G2.3 >  a(a(10^^^8,10^^^8),a(10^^^8,10^^^8)) > your number

...

G64 = 3...G63...3 = grahams number

(it seems i was ninjaed  but still worth posting)