The docillion is equal to \(10^{3\times10^{3\times10^{6\times10^{30}}}+3}\). This term was coined by YouTuber Metsuka The Cute Princess 2007.[1]
Etymology[]
This number is generalized from "d" (2nd Tier 3 multiplicative root) and "gloc" (10th Tier 4 root from "glocillion" with the first two letters removed as a Tier 3 multiplicative) and the suffix "-illion".
Approximations[]
| Notation | Expression |
|---|---|
| Up-arrow notation | \(10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow (6 \times (10 \uparrow 30)))))+3)\) |
| Chained arrow notation | \(10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \rightarrow (6 \times (10 \uparrow 30)))))+3)\) |
| H* function | H(H(H(2*H(9)-1)-1)) (exact) |
| BEAF | \(\{10,\{3\times \{10,3 \times \{10,6 \times \{10,30\}\}\}+3\}\}\) |
Sources[]
- ↑ Metsuka The Cute Princess 2007, All New Official Tier-4 illion Numbers Accessed 2024-05-02.