| 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 | 946 | 0 fixed pts | 1 cycle | 5 nodes | 2.98 avg steps | 4 max steps | 7.53 avg steps | 9 max steps | 5 final numbers |
| 4 | 163,185 | 0 fixed pts | 30 cycles | 7 nodes | 1.84 avg steps | 4 max steps | 8.84 avg steps | 11 max steps | 210 final numbers |
| 6 | 12,271,512 | 0 fixed pts | 4 cycles | 21 nodes | 18.32 avg steps | 62 max steps | 30.34 avg steps | 70 max steps | 65 final numbers |
| 8 | 536,878,650 | 0 fixed pts | 4 cycles | 8 nodes | 36.24 avg steps | 113 max steps | 38.94 avg steps | 115 max steps | 19 final numbers |