| 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 | 52 | 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 | 1,378 | 0 fixed pts | 1 cycle | 26 nodes | 1.46 avg steps | 2 max steps | 26.52 avg steps | 28 max steps | 26 final numbers |
| 3 | 24,804 | 1 fixed pt | 1 cycle | 1 node | 11.38 avg steps | 27 max steps | 12.38 avg steps | 28 max steps | 1 final number |
| 4 | 341,055 | 0 fixed pts | 3 cycles | 6 nodes | 4.61 avg steps | 10 max steps | 10.04 avg steps | 16 max steps | 15 final numbers |
| 5 | 3,819,816 | 0 fixed pts | 3 cycles | 4 nodes | 11.37 avg steps | 23 max steps | 14.70 avg steps | 26 max steps | 9 final numbers |
| 6 | 36,288,252 | 1 fixed pt | 4 cycles | 108 nodes | 30.41 avg steps | 84 max steps | 135.10 avg steps | 192 max steps | 128 final numbers |
| 7 | 300,674,088 | 1 fixed pt | 2 cycles | 19 nodes | 10.79 avg steps | 23 max steps | 27.04 avg steps | 42 max steps | 20 final numbers |
| 8 | 2,217,471,399 | 0 fixed pts | 6 cycles | 174 nodes | 93.09 avg steps | 337 max steps | 210.63 avg steps | 450 max steps | 413 final numbers |
| 9 | 14,783,142,660 | 3 fixed pts | 7 cycles | 14 nodes | 23.13 avg steps | 54 max steps | 27.96 avg steps | 56 max steps | 32 final numbers |