| 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 |
| 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 | 19 | 0 fixed pts | 0 cycles | 0 nodes | 0.95 avg steps | 1 max steps | 1.95 avg steps | 2 max steps | 0 final numbers |
| 3 | 1,330 | 0 fixed pts | 1 cycle | 2 nodes | 4.58 avg steps | 10 max steps | 6.56 avg steps | 12 max steps | 2 final numbers |
| 5 | 33,649 | 0 fixed pts | 2 cycles | 4 nodes | 5.69 avg steps | 12 max steps | 9.00 avg steps | 15 max steps | 7 final numbers |
| 7 | 480,700 | 0 fixed pts | 1 cycle | 14 nodes | 8.43 avg steps | 19 max steps | 22.43 avg steps | 33 max steps | 14 final numbers |
| 9 | 4,686,825 | 1 fixed pt | 2 cycles | 2 nodes | 24.83 avg steps | 61 max steps | 26.82 avg steps | 63 max steps | 3 final numbers |
| 11 | 34,597,290 | 0 fixed pts | 2 cycles | 8 nodes | 27.31 avg steps | 62 max steps | 33.32 avg steps | 67 max steps | 13 final numbers |
| 13 | 206,253,075 | 0 fixed pts | 2 cycles | 21 nodes | 25.20 avg steps | 78 max steps | 46.16 avg steps | 99 max steps | 24 final numbers |
| 15 | 1,037,158,320 | 1 fixed pt | 3 cycles | 63 nodes | 12.10 avg steps | 39 max steps | 66.62 avg steps | 102 max steps | 86 final numbers |
| 17 | 4,537,567,650 | 0 fixed pts | 4 cycles | 31 nodes | 23.52 avg steps | 69 max steps | 50.88 avg steps | 100 max steps | 42 final numbers |