| 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) |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 105 | 1 fixed pt | 3 cycles | 4 nodes | 1.35 avg steps | 2 max steps | 4.09 avg steps | 6 max steps | 7 final numbers |
| 4 | 2,380 | 0 fixed pts | 1 cycle | 3 nodes | 4.18 avg steps | 9 max steps | 7.17 avg steps | 12 max steps | 3 final numbers |
| 6 | 27,132 | 1 fixed pt | 4 cycles | 12 nodes | 12.09 avg steps | 29 max steps | 22.65 avg steps | 41 max steps | 17 final numbers |
| 8 | 203,490 | 1 fixed pt | 4 cycles | 8 nodes | 15.84 avg steps | 37 max steps | 18.52 avg steps | 38 max steps | 21 final numbers |
| 10 | 1,144,066 | 0 fixed pts | 6 cycles | 6 nodes | 11.36 avg steps | 44 max steps | 17.24 avg steps | 50 max steps | 34 final numbers |
| 12 | 5,200,300 | 1 fixed pt | 14 cycles | 12 nodes | 8.47 avg steps | 40 max steps | 14.47 avg steps | 46 max steps | 74 final numbers |
| 14 | 20,058,300 | 2 fixed pts | 24 cycles | 12 nodes | 7.26 avg steps | 47 max steps | 13.26 avg steps | 53 max steps | 142 final numbers |
| 16 | 67,863,915 | 1 fixed pt | 42 cycles | 12 nodes | 6.68 avg steps | 52 max steps | 12.72 avg steps | 58 max steps | 257 final numbers |
| 18 | 206,253,075 | 3 fixed pts | 75 cycles | 12 nodes | 6.31 avg steps | 59 max steps | 12.36 avg steps | 65 max steps | 454 final numbers |
| 20 | 573,166,440 | 2 fixed pts | 127 cycles | 12 nodes | 6.15 avg steps | 64 max steps | 12.11 avg steps | 70 max steps | 774 final numbers |
| 22 | 1,476,337,800 | 2 fixed pts | 211 cycles | 12 nodes | 6.12 avg steps | 71 max steps | 12.11 avg steps | 77 max steps | 1,295 final numbers |
| 24 | 3,562,467,300 | 3 fixed pts | 353 cycles | 12 nodes | 6.02 avg steps | 76 max steps | 11.91 avg steps | 82 max steps | 2,127 final numbers |
| 26 | 8,122,425,444 | 4 fixed pts | 557 cycles | 12 nodes | 6.12 avg steps | 83 max steps | 11.98 avg steps | 89 max steps | 3,378 final numbers |