| 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 | 20 | 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 | 1,540 | 1 fixed pt | 1 cycle | 1 node | 5.29 avg steps | 11 max steps | 6.29 avg steps | 12 max steps | 1 final number |
| 5 | 42,504 | 0 fixed pts | 2 cycles | 4 nodes | 6.11 avg steps | 13 max steps | 10.09 avg steps | 17 max steps | 6 final numbers |
| 7 | 657,800 | 1 fixed pt | 2 cycles | 13 nodes | 7.60 avg steps | 21 max steps | 17.52 avg steps | 34 max steps | 14 final numbers |
| 9 | 6,906,900 | 2 fixed pts | 6 cycles | 10 nodes | 15.97 avg steps | 40 max steps | 24.86 avg steps | 50 max steps | 28 final numbers |
| 11 | 54,627,300 | 0 fixed pts | 2 cycles | 5 nodes | 19.91 avg steps | 54 max steps | 23.98 avg steps | 58 max steps | 9 final numbers |
| 13 | 347,373,600 | 0 fixed pts | 1 cycle | 52 nodes | 20.52 avg steps | 63 max steps | 72.52 avg steps | 115 max steps | 52 final numbers |
| 15 | 1,855,967,520 | 1 fixed pt | 3 cycles | 30 nodes | 16.15 avg steps | 54 max steps | 44.46 avg steps | 81 max steps | 58 final numbers |
| 17 | 8,597,496,600 | 0 fixed pts | 4 cycles | 31 nodes | 16.84 avg steps | 59 max steps | 44.19 avg steps | 90 max steps | 70 final numbers |