| Radix Character Encoding | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D |
| 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 | ||
| 2 | 3 cycles | 13× | 26× | - | 52× | - | - | - | - | - | - | - | - |
| 4 | 1 cycle | - | - | 2,366× | - | - | - | - | - | - | - | - | - |
| 6 | 4 cycles | 56× | 3,825× | - | - | - | - | - | - | - | - | - | 23,237× |
| 8 | 4 cycles | 145,337× | - | - | - | - | 32,589× | - | 25,550× | - | - | - | - |
| 10 | 6 cycles | - | - | - | 68,719× | - | 1,075,333× | - | - | - | - | - | - |
| 12 | 14 cycles | 56× | 37,424× | 370,998× | - | - | 4,587,494× | - | - | - | - | - | 204,314× |
| 14 | 24 cycles | 158,079× | 671,118× | - | - | - | 18,648,250× | - | - | - | - | - | 580,839× |
| 16 | 42 cycles | 16,369× | - | 1,872,921× | 94,434× | - | 64,466,886× | - | - | - | - | - | 1,413,291× |
| 18 | 75 cycles | 23,297× | 125,175× | 1,702,055× | - | - | 201,565,767× | - | - | - | - | - | 2,836,767× |
| 20 | 127 cycles | 1,820,351× | 3,992,512× | 9,547,278× | - | - | 552,879,576× | - | - | - | - | - | 4,926,709× |
| 22 | 211 cycles | 3,559,662× | 393,718× | 10,925,276× | 458,936× | - | 1,453,738,224× | - | - | - | - | - | 7,261,970× |
| 24 | 353 cycles | 32,229× | 655,749× | 153,061,986× | - | - | 3,396,726,705× | - | - | - | - | - | 11,990,617× |
| 26 | 557 cycles | 212,478,512× | 20,161,710× | 40,856,486× | - | - | 7,831,276,598× | - | - | - | - | - | 17,652,124× |