| 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 |
| 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 | 1 cycle | 5 nodes | ⮎ 3d → Z7 → RF → BV → JN ⮌ |
| 3 | 1 cycle | 2 nodes | ⮎ KgM → LgL ⮌ |
| 4 | 30 cycles | 7 nodes | ⮎ B0fW → fKL2 → d0f4 → fY72 → dQF4 → ZAV8 → RKLG ⮌ |
| 5 | 2 cycles | 4 nodes | ⮎ SDgSF → TCgTE → UEgRD → TFgQE ⮌ |
| 6 | 4 cycles | 21 nodes | ⮎ B51ebW → dWKLA4 → ZM0fK8 → fR1eF2 → ecBU43 → bYIN86 → VQ4bGC → XJ9WNA → OM3cKJ → Z51eb8 → dWQFA4 → ZMAVK8 → RL1eLG → dAggV4 → cW7YA5 → XRLKFA → NC0fUK → fI2dO2 → db5a54 → ZWUBA8 → RMINKG ⮌ |
| 7 | 1 cycle | 8 nodes | ⮎ WL7gYLB → ZNAgVJ8 → YPBgUH9 → XNCgTJA → WL9gWLB → XLAgVLA → WN9gWJB → XLCgTLA ⮌ |
| 8 | 4 cycles | 8 nodes | ⮎ JEB3cVSO → ZKE4bSM8 → XRE1eSFA → dNEBUSJ4 → ZJE3cSN8 → ZRE3cSF8 → ZREBUSF8 → RJEBUSNG ⮌ |
| 9 | 6 cycles | 17 nodes | ⮎ XOG6gZQIA → aPH7gYPH7 → ZTH7gYPD8 → ZRLBgULF8 → YOF5gaRI9 → bRJ8gXNF6 → aTI7gYOD7 → ZTLAgVLD8 → YPI7gYOH9 → ZPH6gZPH8 → aRI7gYOF7 → ZTJ8gXND8 → YRK9gWMF9 → XPH6gZPHA → aPG7gYQH7 → ZTI8gXOD8 → YRKAgVMF9 ⮌ |