| Radix Character Encoding | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E |
| 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 | 120 | 0 fixed pts | 0 cycles | 0 nodes | 3.85 avg steps | 5 max steps | 4.85 avg steps | 6 max steps | 0 final numbers |
| 4 | 3,060 | 1 fixed pt | 7 cycles | 4 nodes | 2.03 avg steps | 4 max steps | 5.54 avg steps | 8 max steps | 21 final numbers |
| 6 | 38,760 | 0 fixed pts | 2 cycles | 9 nodes | 6.26 avg steps | 14 max steps | 14.11 avg steps | 23 max steps | 12 final numbers |
| 8 | 319,770 | 1 fixed pt | 4 cycles | 22 nodes | 7.07 avg steps | 18 max steps | 19.95 avg steps | 38 max steps | 30 final numbers |
| 10 | 1,961,256 | 1 fixed pt | 3 cycles | 6 nodes | 15.69 avg steps | 36 max steps | 21.68 avg steps | 42 max steps | 10 final numbers |
| 12 | 9,657,700 | 0 fixed pts | 2 cycles | 19 nodes | 12.19 avg steps | 33 max steps | 31.15 avg steps | 52 max steps | 22 final numbers |
| 14 | 40,116,600 | 1 fixed pt | 4 cycles | 7 nodes | 19.55 avg steps | 61 max steps | 25.63 avg steps | 67 max steps | 17 final numbers |
| 16 | 145,422,675 | 2 fixed pts | 6 cycles | 6 nodes | 31.03 avg steps | 65 max steps | 37.01 avg steps | 71 max steps | 18 final numbers |
| 18 | 471,435,600 | 2 fixed pts | 5 cycles | 10 nodes | 17.71 avg steps | 45 max steps | 24.84 avg steps | 51 max steps | 21 final numbers |
| 20 | 1,391,975,640 | 2 fixed pts | 5 cycles | 27 nodes | 25.28 avg steps | 69 max steps | 51.50 avg steps | 96 max steps | 38 final numbers |
| 22 | 3,796,297,200 | 1 fixed pt | 6 cycles | 16 nodes | 21.65 avg steps | 55 max steps | 31.46 avg steps | 61 max steps | 35 final numbers |
| 24 | 9,669,554,100 | 2 fixed pts | 9 cycles | 16 nodes | 29.75 avg steps | 84 max steps | 33.23 avg steps | 87 max steps | 46 final numbers |