| 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 |
| m | n | o | p | q | r | s | t | u | v | w | x | y | z | Α | Β |
| 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 | 1,891 | 0 fixed pts | 3 cycles | 5 nodes | 2.19 avg steps | 3 max steps | 7.00 avg steps | 8 max steps | 15 final numbers |
| 4 | 635,376 | 0 fixed pts | 15 cycles | 30 nodes | 1.81 avg steps | 4 max steps | 31.31 avg steps | 34 max steps | 435 final numbers |
| 6 | 90,858,768 | 0 fixed pts | 9 cycles | 59 nodes | 48.88 avg steps | 128 max steps | 85.52 avg steps | 173 max steps | 115 final numbers |
| 8 | 7,392,009,768 | 0 fixed pts | 10 cycles | 111 nodes | 88.10 avg steps | 235 max steps | 192.66 avg steps | 346 max steps | 294 final numbers |