| Radix Character Encoding | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A |
| 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) |
Nodes | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | ||
| 1 | 0 cycles | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 3 | 1 cycle | - | 275× | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 5 | 1 cycle | - | - | - | 2,992× | - | - | - | - | - | - | - | - | - | - | - | - |
| 7 | 2 cycles | - | - | - | 5,372× | - | - | - | - | - | - | - | - | - | 14,065× | - | - |
| 9 | 2 cycles | 3,212× | - | - | - | - | - | 89,155× | - | - | - | - | - | - | - | - | - |
| 11 | 3 cycles | - | - | - | - | 124,508× | 109,268× | - | - | - | 118,929× | - | - | - | - | - | - |
| 13 | 2 cycles | - | - | - | - | 1,144,055× | - | - | - | - | - | - | - | - | - | - | - |
| 15 | 1 cycle | - | - | - | - | - | - | - | - | - | - | - | 3,268,749× | - | - | - | - |
| 17 | 3 cycles | 175,456× | - | - | - | 6,586,697× | - | 1,674,121× | - | - | - | - | - | - | - | - | - |
| 19 | 3 cycles | 44,932× | 6,933,037× | - | - | 13,052,030× | - | - | - | - | - | - | - | - | - | - | - |
| 21 | 4 cycles | 9,553,647× | 34,798,507× | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 23 | 6 cycles | 1,119,956× | 91,441,073× | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 25 | 9 cycles | 72,719,269× | 110,860,116× | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 27 | 14 cycles | 5,651,167× | 342,678,958× | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 29 | 20 cycles | 116,748,710× | 457,561,674× | - | - | - | - | - | - | - | - | - | - | - | - | - | 61,435,001× |
| 31 | 27 cycles | 22,920,850× | 1,028,808,308× | - | - | - | 69,370,239× | - | - | - | - | - | - | - | - | - | - |
| 33 | 35 cycles | 232,251,880× | 1,685,082,892× | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 35 | 46 cycles | 65,028,368× | 3,125,158,907× | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 37 | 60 cycles | 330,827,668× | 4,254,974,415× | 592,264,657× | - | - | - | - | - | - | - | - | - | - | - | - | - |
| 39 | 74 cycles | 135,923,131× | 6,209,225,979× | 141,940,303× | - | - | 1,730,733,112× | - | - | - | - | - | - | - | - | - | - |