| 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 | 70 | 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 | 2,485 | 0 fixed pts | 1 cycle | 35 nodes | 1.47 avg steps | 2 max steps | 35.51 avg steps | 37 max steps | 35 final numbers |
| 3 | 59,640 | 1 fixed pt | 1 cycle | 1 node | 14.77 avg steps | 36 max steps | 15.77 avg steps | 37 max steps | 1 final number |
| 4 | 1,088,430 | 1 fixed pt | 14 cycles | 12 nodes | 2.93 avg steps | 7 max steps | 14.17 avg steps | 19 max steps | 136 final numbers |
| 5 | 16,108,764 | 0 fixed pts | 3 cycles | 4 nodes | 14.75 avg steps | 29 max steps | 18.08 avg steps | 32 max steps | 9 final numbers |
| 6 | 201,359,550 | 2 fixed pts | 6 cycles | 114 nodes | 69.74 avg steps | 277 max steps | 147.03 avg steps | 331 max steps | 271 final numbers |
| 7 | 2,186,189,400 | 0 fixed pts | 1 cycle | 4 nodes | 18.58 avg steps | 34 max steps | 22.58 avg steps | 38 max steps | 4 final numbers |
| 8 | 21,042,072,975 | 1 fixed pt | 4 cycles | 540 nodes | 224.76 avg steps | 777 max steps | 738.30 avg steps | 1,317 max steps | 563 final numbers |