| 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 | 33 | 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 | 561 | 0 fixed pts | 2 cycles | 4 nodes | 2.15 avg steps | 3 max steps | 5.88 avg steps | 7 max steps | 8 final numbers |
| 3 | 6,545 | 0 fixed pts | 1 cycle | 2 nodes | 7.27 avg steps | 17 max steps | 9.27 avg steps | 19 max steps | 2 final numbers |
| 4 | 58,905 | 0 fixed pts | 24 cycles | 5 nodes | 1.87 avg steps | 4 max steps | 6.86 avg steps | 9 max steps | 120 final numbers |
| 5 | 435,897 | 1 fixed pt | 1 cycle | 1 node | 10.48 avg steps | 19 max steps | 11.48 avg steps | 20 max steps | 1 final number |
| 6 | 2,760,681 | 0 fixed pts | 1 cycle | 4 nodes | 14.60 avg steps | 35 max steps | 18.60 avg steps | 39 max steps | 4 final numbers |
| 7 | 15,380,937 | 0 fixed pts | 3 cycles | 4 nodes | 12.44 avg steps | 29 max steps | 14.60 avg steps | 31 max steps | 8 final numbers |
| 8 | 76,904,685 | 1 fixed pt | 4 cycles | 18 nodes | 27.33 avg steps | 76 max steps | 42.33 avg steps | 94 max steps | 41 final numbers |
| 9 | 350,343,565 | 1 fixed pt | 4 cycles | 10 nodes | 15.04 avg steps | 47 max steps | 20.77 avg steps | 49 max steps | 17 final numbers |
| 10 | 1,471,442,973 | 1 fixed pt | 3 cycles | 93 nodes | 36.95 avg steps | 152 max steps | 129.59 avg steps | 245 max steps | 101 final numbers |
| 11 | 5,752,004,349 | 1 fixed pt | 4 cycles | 35 nodes | 22.32 avg steps | 71 max steps | 55.36 avg steps | 106 max steps | 55 final numbers |