| 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 | 60 | 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 | 1,830 | 0 fixed pts | 1 cycle | 30 nodes | 1.47 avg steps | 2 max steps | 30.52 avg steps | 32 max steps | 30 final numbers |
| 3 | 37,820 | 1 fixed pt | 1 cycle | 1 node | 12.89 avg steps | 31 max steps | 13.89 avg steps | 32 max steps | 1 final number |
| 4 | 595,665 | 1 fixed pt | 7 cycles | 4 nodes | 4.52 avg steps | 13 max steps | 8.01 avg steps | 15 max steps | 21 final numbers |
| 5 | 7,624,512 | 1 fixed pt | 2 cycles | 2 nodes | 14.96 avg steps | 29 max steps | 15.96 avg steps | 30 max steps | 3 final numbers |
| 6 | 82,598,880 | 1 fixed pt | 6 cycles | 66 nodes | 42.18 avg steps | 112 max steps | 103.41 avg steps | 178 max steps | 136 final numbers |
| 7 | 778,789,440 | 1 fixed pt | 2 cycles | 19 nodes | 11.91 avg steps | 25 max steps | 28.49 avg steps | 44 max steps | 20 final numbers |
| 8 | 6,522,361,560 | 1 fixed pt | 9 cycles | 20 nodes | 135.02 avg steps | 385 max steps | 145.65 avg steps | 388 max steps | 67 final numbers |