| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| m | n | o | p | q | r | s | t | u | v | w | x | y | z | Α | Β |
| Color Key | ||
|---|---|---|
| Orange | Fixed Point | number that becomes itself after one iteration |
| Green | Final Numbers | all numbers eventually reached, from all cycles |
| Purple | Cycle Start | iterations include entry into cycle, assuming it repeats |
| Red | Full Cycle | iterations include entire cycle, proving it repeats |
| Blue | Start Numbers | subset (optimization) of all numbers; minimal for full coverage |
| Gray | No Results | any calculation that has no results |
| Digits | # Full Cycles (excluding zero) |
Max Cycle Length |
Longest Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero]) |
|---|---|---|---|
| 1 | 0 cycles | - | - |
| 2 | 6 cycles | 6 nodes | ⮎ Ar → gL → Kh → Mf → Ij → Qb ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ VΒW ⮌ |
| 4 | 6 cycles | 8 nodes | ⮎ 3ΒΒy → y2y4 → wt76 → qlFC → eVVO → FΒΒm → mEmG → YVVU ⮌ |
| 5 | 3 cycles | 4 nodes | ⮎ gKΒgM → hJΒhL → iLΒfK → hMΒeL ⮌ |
| 6 | 31 cycles | 35 nodes | ⮎ eU2yXO → wG2yl6 → wqUWB6 → qf1zMC → yeIiN4 → uQGkb8 → mUAqXG → gW2yVM → wK0Αh6 → ΑqMeB2 → yfHjM4 → uSIiZ8 → mQ6ubG → oWAqVE → ga0ΑRM → ΑK8sh2 → ykMeH4 → uTHjY8 → mS4wZG → sW6uVA → oi0ΑJE → ΑaOcR2 → yE8sn4 → ukYSH8 → mT5vYG → qW4wVC → se0ΑNA → ΑiGkJ2 → yUOcX4 → uE2yn8 → wmYSF6 → qX5vUC → qe2yNC → weGkN6 → qUGkXC ⮌ |
| 7 | 2 cycles | 19 nodes | ⮎ lUEΒmXH → nVGΒkWF → mXEΒmUG → nWHΒjVF → mWDΒnVG → oXGΒkUE → nYFΒlTF → mYHΒjTG → lVFΒlWH → mUFΒlXG → mWGΒkVG → lWEΒmVH → nVFΒlWF → mYFΒlTG → mWHΒjVG → lVDΒnWH → oWFΒlVE → nZFΒlSF → mYIΒiTG ⮌ |
| 8 | 191 cycles | 12 nodes | ⮎ gaT6uYRM → oK94wshE → sjaMeRIA → iRI8sjaK → kRO8sdaI → kSF8smZI → kXS6uZUI → oS72yuZE → wna6uRE6 → qoZ8sSDC → keb6uQNI → oSHAqkZE ⮌ |