| Radix Character Encoding | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C |
| 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) |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 13 | 0 fixed pts | 0 cycles | 0 nodes | 0.92 avg steps | 1 max steps | 1.92 avg steps | 2 max steps | 0 final numbers |
| 3 | 455 | 0 fixed pts | 1 cycle | 2 nodes | 3.38 avg steps | 7 max steps | 5.35 avg steps | 9 max steps | 2 final numbers |
| 5 | 6,188 | 0 fixed pts | 1 cycle | 4 nodes | 6.65 avg steps | 12 max steps | 10.65 avg steps | 16 max steps | 4 final numbers |
| 7 | 50,388 | 0 fixed pts | 3 cycles | 12 nodes | 5.99 avg steps | 14 max steps | 12.22 avg steps | 26 max steps | 16 final numbers |
| 9 | 293,930 | 0 fixed pts | 3 cycles | 5 nodes | 12.98 avg steps | 34 max steps | 17.98 avg steps | 39 max steps | 15 final numbers |
| 11 | 1,352,078 | 0 fixed pts | 1 cycle | 14 nodes | 14.75 avg steps | 43 max steps | 28.75 avg steps | 57 max steps | 14 final numbers |
| 13 | 5,200,300 | 0 fixed pts | 3 cycles | 10 nodes | 19.65 avg steps | 45 max steps | 29.56 avg steps | 55 max steps | 22 final numbers |
| 15 | 17,383,860 | 0 fixed pts | 2 cycles | 14 nodes | 22.09 avg steps | 52 max steps | 36.03 avg steps | 66 max steps | 16 final numbers |
| 17 | 51,895,935 | 0 fixed pts | 4 cycles | 23 nodes | 14.23 avg steps | 47 max steps | 36.82 avg steps | 70 max steps | 44 final numbers |
| 19 | 141,120,525 | 0 fixed pts | 2 cycles | 8 nodes | 21.67 avg steps | 43 max steps | 29.67 avg steps | 51 max steps | 10 final numbers |
| 21 | 354,817,320 | 0 fixed pts | 4 cycles | 18 nodes | 11.83 avg steps | 33 max steps | 28.20 avg steps | 51 max steps | 30 final numbers |
| 23 | 834,451,800 | 1 fixed pt | 4 cycles | 15 nodes | 15.79 avg steps | 34 max steps | 17.56 avg steps | 35 max steps | 24 final numbers |
| 25 | 1,852,482,996 | 2 fixed pts | 5 cycles | 8 nodes | 11.67 avg steps | 32 max steps | 18.59 avg steps | 40 max steps | 19 final numbers |
| 27 | 3,910,797,436 | 3 fixed pts | 6 cycles | 5 nodes | 12.27 avg steps | 31 max steps | 15.44 avg steps | 36 max steps | 12 final numbers |
| 29 | 7,898,654,920 | 5 fixed pts | 9 cycles | 5 nodes | 11.92 avg steps | 35 max steps | 15.57 avg steps | 40 max steps | 17 final numbers |