| 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) |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 325 | 0 fixed pts | 1 cycle | 6 nodes | 2.11 avg steps | 3 max steps | 7.54 avg steps | 9 max steps | 6 final numbers |
| 4 | 20,475 | 1 fixed pt | 8 cycles | 10 nodes | 1.90 avg steps | 4 max steps | 11.41 avg steps | 14 max steps | 66 final numbers |
| 6 | 593,775 | 1 fixed pt | 5 cycles | 12 nodes | 19.27 avg steps | 58 max steps | 30.89 avg steps | 70 max steps | 39 final numbers |
| 8 | 10,518,300 | 1 fixed pt | 5 cycles | 10 nodes | 22.26 avg steps | 62 max steps | 30.76 avg steps | 70 max steps | 32 final numbers |
| 10 | 131,128,140 | 1 fixed pt | 4 cycles | 36 nodes | 14.25 avg steps | 46 max steps | 46.30 avg steps | 82 max steps | 64 final numbers |
| 12 | 1,251,677,700 | 1 fixed pt | 6 cycles | 11 nodes | 39.53 avg steps | 94 max steps | 50.12 avg steps | 105 max steps | 33 final numbers |
| 14 | 9,669,554,100 | 2 fixed pts | 6 cycles | 22 nodes | 27.43 avg steps | 76 max steps | 46.18 avg steps | 98 max steps | 43 final numbers |