| 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 |
| 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 | 35 | 0 fixed pts | 0 cycles | 0 nodes | 0.97 avg steps | 1 max steps | 1.97 avg steps | 2 max steps | 0 final numbers |
| 3 | 7,770 | 0 fixed pts | 1 cycle | 2 nodes | 7.65 avg steps | 18 max steps | 9.65 avg steps | 20 max steps | 2 final numbers |
| 5 | 575,757 | 0 fixed pts | 1 cycle | 4 nodes | 8.55 avg steps | 17 max steps | 12.55 avg steps | 21 max steps | 4 final numbers |
| 7 | 22,481,940 | 0 fixed pts | 1 cycle | 8 nodes | 13.17 avg steps | 34 max steps | 21.17 avg steps | 42 max steps | 8 final numbers |
| 9 | 563,921,995 | 2 fixed pts | 3 cycles | 21 nodes | 13.71 avg steps | 36 max steps | 28.92 avg steps | 57 max steps | 23 final numbers |