| 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 | 90 | 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 | 4,095 | 0 fixed pts | 5 cycles | 12 nodes | 1.48 avg steps | 2 max steps | 11.87 avg steps | 14 max steps | 45 final numbers |
| 3 | 125,580 | 1 fixed pt | 1 cycle | 1 node | 18.53 avg steps | 46 max steps | 19.53 avg steps | 47 max steps | 1 final number |
| 4 | 2,919,735 | 1 fixed pt | 27 cycles | 12 nodes | 2.87 avg steps | 7 max steps | 13.65 avg steps | 19 max steps | 231 final numbers |
| 5 | 54,891,018 | 1 fixed pt | 2 cycles | 2 nodes | 20.20 avg steps | 38 max steps | 21.20 avg steps | 39 max steps | 3 final numbers |
| 6 | 869,107,785 | 2 fixed pts | 6 cycles | 247 nodes | 60.31 avg steps | 219 max steps | 304.50 avg steps | 466 max steps | 271 final numbers |
| 7 | 11,919,192,480 | 0 fixed pts | 1 cycle | 4 nodes | 21.37 avg steps | 39 max steps | 25.37 avg steps | 43 max steps | 4 final numbers |