| 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) |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 253 | 0 fixed pts | 1 cycle | 11 nodes | 1.41 avg steps | 2 max steps | 11.54 avg steps | 13 max steps | 11 final numbers |
| 4 | 12,650 | 0 fixed pts | 2 cycles | 5 nodes | 3.51 avg steps | 7 max steps | 8.50 avg steps | 12 max steps | 10 final numbers |
| 6 | 296,010 | 1 fixed pt | 3 cycles | 21 nodes | 16.66 avg steps | 36 max steps | 37.14 avg steps | 57 max steps | 34 final numbers |
| 8 | 4,292,145 | 0 fixed pts | 2 cycles | 75 nodes | 25.13 avg steps | 78 max steps | 99.77 avg steps | 153 max steps | 82 final numbers |
| 10 | 44,352,165 | 0 fixed pts | 2 cycles | 39 nodes | 43.22 avg steps | 108 max steps | 71.41 avg steps | 147 max steps | 53 final numbers |
| 12 | 354,817,320 | 1 fixed pt | 3 cycles | 70 nodes | 49.15 avg steps | 161 max steps | 115.93 avg steps | 231 max steps | 110 final numbers |
| 14 | 2,319,959,400 | 2 fixed pts | 8 cycles | 50 nodes | 63.40 avg steps | 175 max steps | 110.73 avg steps | 225 max steps | 140 final numbers |