| 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 |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| 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 | 38 | 0 fixed pts | 0 cycles | 0 nodes | 0.97 avg steps | 1 max steps | 1.97 avg steps | 2 max steps | 0 final numbers |
| 2 | 741 | 1 fixed pt | 3 cycles | 12 nodes | 1.45 avg steps | 2 max steps | 10.54 avg steps | 14 max steps | 19 final numbers |
| 3 | 9,880 | 1 fixed pt | 1 cycle | 1 node | 8.73 avg steps | 20 max steps | 9.73 avg steps | 21 max steps | 1 final number |
| 4 | 101,270 | 0 fixed pts | 4 cycles | 9 nodes | 3.14 avg steps | 7 max steps | 12.14 avg steps | 16 max steps | 36 final numbers |
| 5 | 850,668 | 0 fixed pts | 2 cycles | 4 nodes | 9.07 avg steps | 19 max steps | 13.07 avg steps | 23 max steps | 6 final numbers |
| 6 | 6,096,454 | 1 fixed pt | 6 cycles | 57 nodes | 19.33 avg steps | 62 max steps | 62.35 avg steps | 115 max steps | 83 final numbers |
| 7 | 38,320,568 | 0 fixed pts | 1 cycle | 4 nodes | 14.06 avg steps | 26 max steps | 18.06 avg steps | 30 max steps | 4 final numbers |
| 8 | 215,553,195 | 0 fixed pts | 4 cycles | 93 nodes | 43.37 avg steps | 150 max steps | 114.48 avg steps | 243 max steps | 205 final numbers |
| 9 | 1,101,716,330 | 2 fixed pts | 5 cycles | 10 nodes | 13.94 avg steps | 37 max steps | 20.12 avg steps | 47 max steps | 18 final numbers |
| 10 | 5,178,066,751 | 0 fixed pts | 2 cycles | 118 nodes | 92.86 avg steps | 297 max steps | 182.69 avg steps | 374 max steps | 195 final numbers |