| 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 | 18 | 0 fixed pts | 0 cycles | 0 nodes | 0.94 avg steps | 1 max steps | 1.94 avg steps | 2 max steps | 0 final numbers |
| 3 | 1,140 | 1 fixed pt | 1 cycle | 1 node | 4.89 avg steps | 10 max steps | 5.89 avg steps | 11 max steps | 1 final number |
| 5 | 26,334 | 1 fixed pt | 2 cycles | 2 nodes | 7.76 avg steps | 13 max steps | 8.77 avg steps | 14 max steps | 3 final numbers |
| 7 | 346,104 | 0 fixed pts | 1 cycle | 4 nodes | 10.65 avg steps | 19 max steps | 14.65 avg steps | 23 max steps | 4 final numbers |
| 9 | 3,124,550 | 1 fixed pt | 4 cycles | 14 nodes | 10.47 avg steps | 32 max steps | 22.68 avg steps | 44 max steps | 29 final numbers |
| 11 | 21,474,180 | 2 fixed pts | 4 cycles | 14 nodes | 12.68 avg steps | 38 max steps | 23.64 avg steps | 52 max steps | 20 final numbers |
| 13 | 119,759,850 | 1 fixed pt | 3 cycles | 6 nodes | 15.12 avg steps | 37 max steps | 21.11 avg steps | 43 max steps | 9 final numbers |
| 15 | 565,722,720 | 3 fixed pts | 6 cycles | 8 nodes | 12.10 avg steps | 38 max steps | 18.87 avg steps | 46 max steps | 20 final numbers |
| 17 | 2,333,606,220 | 2 fixed pts | 5 cycles | 8 nodes | 14.69 avg steps | 41 max steps | 22.22 avg steps | 49 max steps | 17 final numbers |
| 19 | 8,597,496,600 | 1 fixed pt | 4 cycles | 4 nodes | 21.42 avg steps | 49 max steps | 25.42 avg steps | 53 max steps | 11 final numbers |