| 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) |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 1,081 | 0 fixed pts | 1 cycle | 23 nodes | 1.46 avg steps | 2 max steps | 23.52 avg steps | 25 max steps | 23 final numbers |
| 4 | 211,876 | 0 fixed pts | 5 cycles | 11 nodes | 3.06 avg steps | 7 max steps | 14.06 avg steps | 18 max steps | 55 final numbers |
| 6 | 18,009,460 | 1 fixed pt | 2 cycles | 61 nodes | 63.87 avg steps | 163 max steps | 124.87 avg steps | 224 max steps | 62 final numbers |
| 8 | 886,322,710 | 0 fixed pts | 2 cycles | 240 nodes | 47.81 avg steps | 164 max steps | 258.83 avg steps | 404 max steps | 294 final numbers |