| 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 |
| Τ | Υ | Φ | Χ | Ψ | Ω | α | β | γ | δ | ε | ζ | η | θ | ι | κ |
| 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 | 83 | 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 | 3,486 | 1 fixed pt | 3 cycles | 6 nodes | 3.05 avg steps | 4 max steps | 7.44 avg steps | 10 max steps | 10 final numbers |
| 3 | 98,770 | 0 fixed pts | 1 cycle | 2 nodes | 16.71 avg steps | 42 max steps | 18.71 avg steps | 44 max steps | 2 final numbers |
| 4 | 2,123,555 | 0 fixed pts | 20 cycles | 41 nodes | 1.79 avg steps | 4 max steps | 42.79 avg steps | 45 max steps | 820 final numbers |
| 5 | 36,949,857 | 0 fixed pts | 1 cycle | 4 nodes | 16.65 avg steps | 33 max steps | 20.65 avg steps | 37 max steps | 4 final numbers |
| 6 | 541,931,236 | 1 fixed pt | 6 cycles | 11 nodes | 139.02 avg steps | 319 max steps | 149.87 avg steps | 330 max steps | 31 final numbers |
| 7 | 6,890,268,572 | 0 fixed pts | 1 cycle | 8 nodes | 20.14 avg steps | 46 max steps | 28.14 avg steps | 54 max steps | 8 final numbers |