| 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 | 630 | 1 fixed pt | 2 cycles | 3 nodes | 2.95 avg steps | 4 max steps | 5.25 avg steps | 7 max steps | 4 final numbers |
| 4 | 73,815 | 1 fixed pt | 14 cycles | 12 nodes | 1.86 avg steps | 4 max steps | 13.05 avg steps | 16 max steps | 136 final numbers |
| 6 | 3,838,380 | 1 fixed pt | 2 cycles | 6 nodes | 18.70 avg steps | 47 max steps | 24.48 avg steps | 53 max steps | 7 final numbers |
| 8 | 118,030,185 | 0 fixed pts | 4 cycles | 12 nodes | 27.23 avg steps | 92 max steps | 32.44 avg steps | 95 max steps | 21 final numbers |
| 10 | 2,481,256,778 | 0 fixed pts | 9 cycles | 13 nodes | 27.88 avg steps | 103 max steps | 33.43 avg steps | 105 max steps | 60 final numbers |