| 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 |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| 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 | 41 | 0 fixed pts | 0 cycles | 0 nodes | 0.98 avg steps | 1 max steps | 1.98 avg steps | 2 max steps | 0 final numbers |
| 2 | 861 | 1 fixed pt | 3 cycles | 6 nodes | 2.17 avg steps | 3 max steps | 6.51 avg steps | 9 max steps | 10 final numbers |
| 3 | 12,341 | 0 fixed pts | 1 cycle | 2 nodes | 8.79 avg steps | 21 max steps | 10.79 avg steps | 23 max steps | 2 final numbers |
| 4 | 135,751 | 0 fixed pts | 20 cycles | 10 nodes | 1.84 avg steps | 4 max steps | 11.59 avg steps | 14 max steps | 190 final numbers |
| 5 | 1,221,759 | 0 fixed pts | 1 cycle | 4 nodes | 9.57 avg steps | 19 max steps | 13.57 avg steps | 23 max steps | 4 final numbers |
| 6 | 9,366,819 | 1 fixed pt | 5 cycles | 77 nodes | 19.25 avg steps | 61 max steps | 90.62 avg steps | 138 max steps | 87 final numbers |
| 7 | 62,891,499 | 0 fixed pts | 3 cycles | 4 nodes | 13.40 avg steps | 30 max steps | 15.54 avg steps | 32 max steps | 8 final numbers |
| 8 | 377,348,994 | 0 fixed pts | 3 cycles | 36 nodes | 23.66 avg steps | 54 max steps | 42.14 avg steps | 85 max steps | 49 final numbers |
| 9 | 2,054,455,634 | 2 fixed pts | 5 cycles | 9 nodes | 18.39 avg steps | 44 max steps | 23.16 avg steps | 45 max steps | 19 final numbers |
| 10 | 10,272,278,170 | 1 fixed pt | 4 cycles | 43 nodes | 42.76 avg steps | 113 max steps | 82.32 avg steps | 156 max steps | 64 final numbers |