| Radix Character Encoding | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B |
| 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 | # Start Numbers | # Fixed Points (excluding zero) |
# Cycles (including fixed) (excluding zero) |
Full Cycle Max Length |
Avg Steps including Cycle Start |
Max Steps including Cycle Start |
Avg Steps including Full Cycle |
Max Steps including Full Cycle |
# Final Numbers (excluding zero) |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 78 | 0 fixed pts | 1 cycle | 6 nodes | 1.33 avg steps | 2 max steps | 6.56 avg steps | 8 max steps | 6 final numbers |
| 4 | 1,365 | 0 fixed pts | 2 cycles | 6 nodes | 3.07 avg steps | 7 max steps | 8.31 avg steps | 13 max steps | 9 final numbers |
| 6 | 12,376 | 1 fixed pt | 2 cycles | 10 nodes | 7.93 avg steps | 19 max steps | 17.89 avg steps | 29 max steps | 11 final numbers |
| 8 | 75,582 | 2 fixed pts | 3 cycles | 24 nodes | 8.12 avg steps | 24 max steps | 30.10 avg steps | 48 max steps | 26 final numbers |
| 10 | 352,716 | 1 fixed pt | 4 cycles | 5 nodes | 12.71 avg steps | 36 max steps | 17.14 avg steps | 40 max steps | 13 final numbers |
| 12 | 1,352,078 | 2 fixed pts | 7 cycles | 11 nodes | 7.95 avg steps | 27 max steps | 13.71 avg steps | 38 max steps | 32 final numbers |
| 14 | 4,457,400 | 4 fixed pts | 12 cycles | 5 nodes | 7.99 avg steps | 34 max steps | 12.98 avg steps | 39 max steps | 44 final numbers |
| 16 | 13,037,895 | 2 fixed pts | 20 cycles | 5 nodes | 6.89 avg steps | 33 max steps | 11.89 avg steps | 38 max steps | 92 final numbers |
| 18 | 34,597,290 | 5 fixed pts | 41 cycles | 5 nodes | 6.21 avg steps | 33 max steps | 11.01 avg steps | 38 max steps | 185 final numbers |
| 20 | 84,672,315 | 4 fixed pts | 71 cycles | 5 nodes | 6.21 avg steps | 33 max steps | 11.16 avg steps | 38 max steps | 339 final numbers |
| 22 | 193,536,720 | 4 fixed pts | 121 cycles | 5 nodes | 6.06 avg steps | 37 max steps | 10.97 avg steps | 42 max steps | 586 final numbers |
| 24 | 417,225,900 | 5 fixed pts | 196 cycles | 5 nodes | 7.64 avg steps | 42 max steps | 12.63 avg steps | 47 max steps | 960 final numbers |
| 26 | 854,992,152 | 4 fixed pts | 307 cycles | 5 nodes | 7.07 avg steps | 47 max steps | 11.95 avg steps | 52 max steps | 1,515 final numbers |
| 28 | 1,676,056,044 | 10 fixed pts | 469 cycles | 8 nodes | 6.57 avg steps | 52 max steps | 12.19 avg steps | 57 max steps | 2,311 final numbers |
| 30 | 3,159,461,968 | 6 fixed pts | 681 cycles | 13 nodes | 7.39 avg steps | 57 max steps | 14.27 avg steps | 62 max steps | 3,387 final numbers |
| 32 | 5,752,004,349 | 8 fixed pts | 975 cycles | 18 nodes | 7.38 avg steps | 62 max steps | 16.38 avg steps | 67 max steps | 4,866 final numbers |