Hexafact is the mixed factorial of 6, written as 6*. The term was coined by TechKon. It is equal to \((6,561 \uparrow\uparrow 5) \uparrow\uparrow\uparrow 6\).
Etymology[]
The name of this number is based on Greek prefix "hexa-" and the word "factorial".
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{\{6561,5,2\},6,3\}\) (exact) |
| BEAF | \(\{\{6561,5,2\},6,3\}\) (exact) |
| Graham Array Notation | \([[6561,5,2],6,3]\) (exact) |
| Strong Array Notation | \(s(s(6561,5,2),6,3)\) (exact) |
| Hyper-E notation | \(E25043.722136476503\#4\#6\) |
| Chained arrow notation | \((6,561 \rightarrow 5 \rightarrow 2) \rightarrow 6 \rightarrow 3\) (exact) |
| Hyperfactorial array notation | \(10!2\) |
| Nested Factorial Notation | \(10![3]\) |
| Fast-growing hierarchy | \(f_4(6)\) |
| Hardy hierarchy | \(H_{\omega^36+\omega^25}(6,561)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_{\zeta_0+1}}(6)\) |
Sources[]
See also[]
Main article: Mixed Factorial
Basic: Tetrafact · Pentafact · Hexafact · CentifactSeries 2: Centifact · Double Centifact · Triple Centifact · Quadruple Centifact · Quintuple Centifact · Decuple Centifact · Centuple Centifact
Series 3: Hypercentifact · Duo-hypercentifact · Ultracentifact