| 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 | # 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 | 14 | 0 fixed pts | 0 cycles | 0 nodes | 0.93 avg steps | 1 max steps | 1.93 avg steps | 2 max steps | 0 final numbers |
| 3 | 560 | 1 fixed pt | 1 cycle | 1 node | 4.10 avg steps | 8 max steps | 5.10 avg steps | 9 max steps | 1 final number |
| 5 | 8,568 | 0 fixed pts | 2 cycles | 4 nodes | 4.76 avg steps | 11 max steps | 8.71 avg steps | 15 max steps | 6 final numbers |
| 7 | 77,520 | 0 fixed pts | 1 cycle | 8 nodes | 7.13 avg steps | 16 max steps | 15.13 avg steps | 24 max steps | 8 final numbers |
| 9 | 497,420 | 2 fixed pts | 3 cycles | 8 nodes | 12.61 avg steps | 26 max steps | 20.53 avg steps | 34 max steps | 10 final numbers |
| 11 | 2,496,144 | 0 fixed pts | 3 cycles | 10 nodes | 9.12 avg steps | 23 max steps | 15.12 avg steps | 28 max steps | 17 final numbers |
| 13 | 10,400,600 | 1 fixed pt | 3 cycles | 17 nodes | 13.24 avg steps | 32 max steps | 29.30 avg steps | 49 max steps | 21 final numbers |
| 15 | 37,442,160 | 2 fixed pts | 3 cycles | 13 nodes | 23.34 avg steps | 67 max steps | 36.29 avg steps | 80 max steps | 15 final numbers |
| 17 | 119,759,850 | 0 fixed pts | 1 cycle | 32 nodes | 12.45 avg steps | 32 max steps | 44.45 avg steps | 64 max steps | 32 final numbers |
| 19 | 347,373,600 | 1 fixed pt | 4 cycles | 25 nodes | 10.97 avg steps | 34 max steps | 29.65 avg steps | 59 max steps | 48 final numbers |
| 21 | 927,983,760 | 1 fixed pt | 3 cycles | 24 nodes | 14.04 avg steps | 34 max steps | 36.65 avg steps | 58 max steps | 33 final numbers |
| 23 | 2,310,789,600 | 1 fixed pt | 4 cycles | 14 nodes | 17.11 avg steps | 52 max steps | 26.35 avg steps | 60 max steps | 31 final numbers |
| 25 | 5,414,950,296 | 0 fixed pts | 3 cycles | 11 nodes | 18.53 avg steps | 50 max steps | 28.32 avg steps | 61 max steps | 27 final numbers |