| 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 | 81 | 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 | 3,321 | 0 fixed pts | 2 cycles | 10 nodes | 2.21 avg steps | 3 max steps | 11.88 avg steps | 13 max steps | 20 final numbers |
| 3 | 91,881 | 0 fixed pts | 1 cycle | 2 nodes | 16.33 avg steps | 41 max steps | 18.33 avg steps | 43 max steps | 2 final numbers |
| 4 | 1,929,501 | 0 fixed pts | 36 cycles | 27 nodes | 1.80 avg steps | 4 max steps | 27.02 avg steps | 31 max steps | 780 final numbers |
| 5 | 32,801,517 | 1 fixed pt | 1 cycle | 1 node | 18.62 avg steps | 35 max steps | 19.62 avg steps | 36 max steps | 1 final number |
| 6 | 470,155,077 | 0 fixed pts | 2 cycles | 28 nodes | 67.70 avg steps | 152 max steps | 95.41 avg steps | 180 max steps | 55 final numbers |
| 7 | 5,843,355,957 | 0 fixed pts | 3 cycles | 4 nodes | 19.46 avg steps | 44 max steps | 21.63 avg steps | 46 max steps | 8 final numbers |