| 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 | 51 | 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 | 1,326 | 0 fixed pts | 1 cycle | 6 nodes | 3.01 avg steps | 4 max steps | 8.53 avg steps | 10 max steps | 6 final numbers |
| 3 | 23,426 | 0 fixed pts | 1 cycle | 2 nodes | 10.68 avg steps | 26 max steps | 12.68 avg steps | 28 max steps | 2 final numbers |
| 4 | 316,251 | 0 fixed pts | 44 cycles | 8 nodes | 1.83 avg steps | 4 max steps | 9.22 avg steps | 12 max steps | 300 final numbers |
| 5 | 3,478,761 | 1 fixed pt | 1 cycle | 1 node | 13.40 avg steps | 25 max steps | 14.40 avg steps | 26 max steps | 1 final number |
| 6 | 32,468,436 | 0 fixed pts | 7 cycles | 26 nodes | 37.42 avg steps | 119 max steps | 57.79 avg steps | 139 max steps | 75 final numbers |
| 7 | 264,385,836 | 0 fixed pts | 1 cycle | 8 nodes | 15.50 avg steps | 38 max steps | 23.50 avg steps | 46 max steps | 8 final numbers |
| 8 | 1,916,797,311 | 1 fixed pt | 8 cycles | 8 nodes | 88.60 avg steps | 201 max steps | 93.61 avg steps | 206 max steps | 35 final numbers |
| 9 | 12,565,671,261 | 2 fixed pts | 6 cycles | 9 nodes | 20.10 avg steps | 47 max steps | 24.83 avg steps | 48 max steps | 21 final numbers |