| 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 | 1,596 | 1 fixed pt | 4 cycles | 9 nodes | 1.46 avg steps | 2 max steps | 9.91 avg steps | 11 max steps | 28 final numbers |
| 4 | 455,126 | 0 fixed pts | 2 cycles | 4 nodes | 7.01 avg steps | 18 max steps | 10.06 avg steps | 21 max steps | 7 final numbers |
| 6 | 55,525,372 | 1 fixed pt | 6 cycles | 49 nodes | 41.73 avg steps | 142 max steps | 72.48 avg steps | 168 max steps | 152 final numbers |
| 8 | 3,872,894,697 | 0 fixed pts | 6 cycles | 114 nodes | 145.62 avg steps | 473 max steps | 253.45 avg steps | 587 max steps | 250 final numbers |