| 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 | 68 | 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 | 2,346 | 1 fixed pt | 3 cycles | 22 nodes | 1.47 avg steps | 2 max steps | 18.81 avg steps | 24 max steps | 34 final numbers |
| 3 | 54,740 | 1 fixed pt | 1 cycle | 1 node | 14.39 avg steps | 35 max steps | 15.39 avg steps | 36 max steps | 1 final number |
| 4 | 971,635 | 0 fixed pts | 8 cycles | 4 nodes | 4.38 avg steps | 10 max steps | 8.08 avg steps | 14 max steps | 28 final numbers |
| 5 | 13,991,544 | 0 fixed pts | 2 cycles | 4 nodes | 14.08 avg steps | 29 max steps | 18.08 avg steps | 33 max steps | 6 final numbers |
| 6 | 170,230,452 | 1 fixed pt | 3 cycles | 29 nodes | 176.68 avg steps | 311 max steps | 205.64 avg steps | 340 max steps | 41 final numbers |
| 7 | 1,799,579,064 | 1 fixed pt | 2 cycles | 19 nodes | 13.04 avg steps | 27 max steps | 29.61 avg steps | 46 max steps | 20 final numbers |
| 8 | 16,871,053,725 | 0 fixed pts | 2 cycles | 104 nodes | 254.70 avg steps | 562 max steps | 351.64 avg steps | 666 max steps | 187 final numbers |