| 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 |
| Γ | Δ | Ε | Ζ | Η | Θ | Ι | Κ | Λ | Μ | Ν | Ξ | Ο | Π | Ρ | Σ |
| 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 | 69 | 0 fixed pts | 0 cycles | 0 nodes | 0.99 avg steps | 1 max steps | 1.99 avg steps | 2 max steps | 0 final numbers |
| 2 | 2,415 | 0 fixed pts | 3 cycles | 12 nodes | 2.20 avg steps | 3 max steps | 11.08 avg steps | 15 max steps | 17 final numbers |
| 3 | 57,155 | 0 fixed pts | 1 cycle | 2 nodes | 14.07 avg steps | 35 max steps | 16.07 avg steps | 37 max steps | 2 final numbers |
| 4 | 1,028,790 | 0 fixed pts | 29 cycles | 22 nodes | 1.80 avg steps | 4 max steps | 22.32 avg steps | 26 max steps | 561 final numbers |
| 5 | 15,020,334 | 1 fixed pt | 1 cycle | 1 node | 16.52 avg steps | 31 max steps | 17.52 avg steps | 32 max steps | 1 final number |
| 6 | 185,250,786 | 1 fixed pt | 3 cycles | 39 nodes | 95.76 avg steps | 193 max steps | 134.70 avg steps | 232 max steps | 43 final numbers |
| 7 | 1,984,829,850 | 0 fixed pts | 3 cycles | 4 nodes | 17.82 avg steps | 40 max steps | 19.99 avg steps | 42 max steps | 8 final numbers |
| 8 | 18,855,883,575 | 1 fixed pt | 5 cycles | 7 nodes | 211.32 avg steps | 441 max steps | 218.29 avg steps | 448 max steps | 21 final numbers |