| 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 | 66 | 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 | 2,211 | 0 fixed pts | 1 cycle | 33 nodes | 1.47 avg steps | 2 max steps | 33.51 avg steps | 35 max steps | 33 final numbers |
| 3 | 50,116 | 1 fixed pt | 1 cycle | 1 node | 14.01 avg steps | 34 max steps | 15.01 avg steps | 35 max steps | 1 final number |
| 4 | 864,501 | 0 fixed pts | 24 cycles | 5 nodes | 2.94 avg steps | 7 max steps | 7.94 avg steps | 12 max steps | 120 final numbers |
| 5 | 12,103,014 | 1 fixed pt | 2 cycles | 2 nodes | 15.99 avg steps | 30 max steps | 16.99 avg steps | 31 max steps | 3 final numbers |
| 6 | 143,218,999 | 1 fixed pt | 8 cycles | 34 nodes | 51.18 avg steps | 172 max steps | 67.10 avg steps | 179 max steps | 98 final numbers |
| 7 | 1,473,109,704 | 0 fixed pts | 1 cycle | 4 nodes | 17.93 avg steps | 33 max steps | 21.93 avg steps | 37 max steps | 4 final numbers |
| 8 | 13,442,126,049 | 1 fixed pt | 17 cycles | 176 nodes | 55.17 avg steps | 161 max steps | 162.19 avg steps | 337 max steps | 334 final numbers |