| 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 | 703 | 0 fixed pts | 1 cycle | 9 nodes | 2.16 avg steps | 3 max steps | 10.53 avg steps | 12 max steps | 9 final numbers |
| 4 | 91,390 | 0 fixed pts | 9 cycles | 18 nodes | 1.85 avg steps | 4 max steps | 19.30 avg steps | 22 max steps | 153 final numbers |
| 6 | 5,245,786 | 0 fixed pts | 6 cycles | 30 nodes | 16.59 avg steps | 59 max steps | 35.97 avg steps | 89 max steps | 92 final numbers |
| 8 | 177,232,627 | 0 fixed pts | 4 cycles | 44 nodes | 32.94 avg steps | 82 max steps | 47.30 avg steps | 86 max steps | 52 final numbers |
| 10 | 4,076,350,421 | 0 fixed pts | 9 cycles | 38 nodes | 30.06 avg steps | 84 max steps | 39.93 avg steps | 86 max steps | 67 final numbers |