| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| 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 | 29 | 0 fixed pts | 0 cycles | 0 nodes | 0.97 avg steps | 1 max steps | 1.97 avg steps | 2 max steps | 0 final numbers |
| 3 | 4,495 | 0 fixed pts | 1 cycle | 2 nodes | 6.51 avg steps | 15 max steps | 8.50 avg steps | 17 max steps | 2 final numbers |
| 5 | 237,336 | 0 fixed pts | 1 cycle | 4 nodes | 7.56 avg steps | 15 max steps | 11.56 avg steps | 19 max steps | 4 final numbers |
| 7 | 6,724,520 | 0 fixed pts | 3 cycles | 4 nodes | 11.41 avg steps | 27 max steps | 13.56 avg steps | 29 max steps | 8 final numbers |
| 9 | 124,403,620 | 2 fixed pts | 5 cycles | 13 nodes | 14.57 avg steps | 45 max steps | 24.80 avg steps | 58 max steps | 28 final numbers |
| 11 | 1,676,056,044 | 0 fixed pts | 1 cycle | 62 nodes | 18.38 avg steps | 52 max steps | 80.38 avg steps | 114 max steps | 62 final numbers |