| 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 | 22 | 0 fixed pts | 0 cycles | 0 nodes | 0.95 avg steps | 1 max steps | 1.95 avg steps | 2 max steps | 0 final numbers |
| 3 | 2,024 | 1 fixed pt | 1 cycle | 1 node | 5.67 avg steps | 12 max steps | 6.67 avg steps | 13 max steps | 1 final number |
| 5 | 65,780 | 0 fixed pts | 3 cycles | 4 nodes | 5.79 avg steps | 11 max steps | 9.13 avg steps | 14 max steps | 9 final numbers |
| 7 | 1,184,040 | 0 fixed pts | 1 cycle | 4 nodes | 10.79 avg steps | 20 max steps | 14.79 avg steps | 24 max steps | 4 final numbers |
| 9 | 14,307,150 | 2 fixed pts | 3 cycles | 21 nodes | 11.61 avg steps | 29 max steps | 32.15 avg steps | 50 max steps | 23 final numbers |
| 11 | 129,024,480 | 1 fixed pt | 4 cycles | 8 nodes | 12.94 avg steps | 33 max steps | 18.95 avg steps | 37 max steps | 20 final numbers |
| 13 | 927,983,760 | 1 fixed pt | 5 cycles | 43 nodes | 19.45 avg steps | 51 max steps | 53.12 avg steps | 94 max steps | 56 final numbers |
| 15 | 5,567,902,560 | 3 fixed pts | 9 cycles | 24 nodes | 18.62 avg steps | 72 max steps | 34.33 avg steps | 88 max steps | 72 final numbers |