| 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 | 25 | 0 fixed pts | 0 cycles | 0 nodes | 0.96 avg steps | 1 max steps | 1.96 avg steps | 2 max steps | 0 final numbers |
| 3 | 2,925 | 0 fixed pts | 1 cycle | 2 nodes | 5.74 avg steps | 13 max steps | 7.73 avg steps | 15 max steps | 2 final numbers |
| 5 | 118,755 | 0 fixed pts | 2 cycles | 4 nodes | 6.33 avg steps | 13 max steps | 9.67 avg steps | 16 max steps | 7 final numbers |
| 7 | 2,629,575 | 0 fixed pts | 3 cycles | 4 nodes | 11.30 avg steps | 27 max steps | 13.44 avg steps | 29 max steps | 8 final numbers |
| 9 | 38,567,100 | 1 fixed pt | 4 cycles | 22 nodes | 11.35 avg steps | 34 max steps | 20.61 avg steps | 46 max steps | 42 final numbers |
| 11 | 417,225,900 | 0 fixed pts | 3 cycles | 4 nodes | 23.42 avg steps | 57 max steps | 27.42 avg steps | 61 max steps | 12 final numbers |
| 13 | 3,562,467,300 | 0 fixed pts | 2 cycles | 48 nodes | 16.16 avg steps | 59 max steps | 63.86 avg steps | 107 max steps | 54 final numbers |