| 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) |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 58 | 0 fixed pts | 0 cycles | 0 nodes | 0.98 avg steps | 1 max steps | 1.98 avg steps | 2 max steps | 0 final numbers |
| 2 | 1,711 | 0 fixed pts | 1 cycle | 29 nodes | 1.47 avg steps | 2 max steps | 29.52 avg steps | 31 max steps | 29 final numbers |
| 3 | 34,220 | 1 fixed pt | 1 cycle | 1 node | 12.51 avg steps | 30 max steps | 13.51 avg steps | 31 max steps | 1 final number |
| 4 | 521,855 | 0 fixed pts | 7 cycles | 14 nodes | 2.98 avg steps | 7 max steps | 16.44 avg steps | 21 max steps | 91 final numbers |
| 5 | 6,471,002 | 0 fixed pts | 3 cycles | 4 nodes | 12.48 avg steps | 25 max steps | 15.82 avg steps | 28 max steps | 9 final numbers |
| 6 | 67,945,521 | 1 fixed pt | 6 cycles | 62 nodes | 55.62 avg steps | 149 max steps | 103.86 avg steps | 211 max steps | 137 final numbers |
| 7 | 621,216,192 | 0 fixed pts | 1 cycle | 4 nodes | 16.81 avg steps | 31 max steps | 20.81 avg steps | 35 max steps | 4 final numbers |
| 8 | 5,047,381,560 | 0 fixed pts | 4 cycles | 125 nodes | 228.52 avg steps | 521 max steps | 345.80 avg steps | 646 max steps | 272 final numbers |