| 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 | 21 | 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 | 1,771 | 0 fixed pts | 1 cycle | 2 nodes | 4.97 avg steps | 11 max steps | 6.96 avg steps | 13 max steps | 2 final numbers |
| 5 | 53,130 | 1 fixed pt | 1 cycle | 1 node | 8.58 avg steps | 15 max steps | 9.58 avg steps | 16 max steps | 1 final number |
| 7 | 888,030 | 0 fixed pts | 3 cycles | 4 nodes | 10.96 avg steps | 25 max steps | 13.05 avg steps | 27 max steps | 8 final numbers |
| 9 | 10,015,005 | 1 fixed pt | 4 cycles | 18 nodes | 13.13 avg steps | 37 max steps | 25.54 avg steps | 55 max steps | 27 final numbers |
| 11 | 84,672,315 | 1 fixed pt | 4 cycles | 59 nodes | 11.86 avg steps | 36 max steps | 66.19 avg steps | 95 max steps | 75 final numbers |
| 13 | 573,166,440 | 2 fixed pts | 5 cycles | 8 nodes | 38.50 avg steps | 97 max steps | 44.94 avg steps | 103 max steps | 18 final numbers |
| 15 | 3,247,943,160 | 1 fixed pt | 2 cycles | 28 nodes | 50.16 avg steps | 107 max steps | 78.16 avg steps | 135 max steps | 29 final numbers |