| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| 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 | ||
| 2 | 2 cycles | - | - | - | 120× | - | - | - | - |
| 4 | 4 cycles | - | 344× | 764× | 812× | - | 1,940× | - | - |
| 6 | 6 cycles | 72× | 226× | - | 4,220× | 49,730× | - | - | - |
| 8 | 8 cycles | - | 274× | - | 292,586× | - | - | - | 197,438× |
| 10 | 20 cycles | 2,959× | 322× | - | 1,523,577× | 70,872× | - | - | 1,671,014× |
| 12 | 39 cycles | 39,158× | 57,918× | - | 8,596,220× | - | - | - | 8,690,548× |
| 14 | 73 cycles | 445,138× | 452,874× | - | 41,242,034× | - | - | - | 35,418,698× |
| 16 | 129 cycles | 1,221,960× | 2,598,069× | - | 168,079,716× | - | - | - | 128,640,434× |
| 18 | 232 cycles | 4,084,880× | 11,835,671× | - | 623,360,667× | - | - | - | 397,877,086× |
| 20 | 411 cycles | 8,352,432× | 41,399,336× | - | 2,013,030,497× | - | - | - | 1,185,160,879× |
| 22 | 729 cycles | 20,049,764× | 146,790,414× | 914,542× | 5,927,841,822× | - | - | - | 3,268,603,202× |
| 24 | 1,265 cycles | 83,712,967× | 473,730,313× | - | 16,120,186,634× | - | - | - | 8,463,210,730× |
| 26 | 2,150 cycles | 295,420,565× | 1,540,327,679× | - | 41,134,245,712× | - | - | - | 20,462,280,924× |