| 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 | 34 | 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 | 595 | 0 fixed pts | 3 cycles | 12 nodes | 1.44 avg steps | 2 max steps | 10.21 avg steps | 14 max steps | 17 final numbers |
| 3 | 7,140 | 1 fixed pt | 1 cycle | 1 node | 7.97 avg steps | 18 max steps | 8.97 avg steps | 19 max steps | 1 final number |
| 4 | 66,045 | 0 fixed pts | 8 cycles | 4 nodes | 3.20 avg steps | 7 max steps | 6.92 avg steps | 11 max steps | 28 final numbers |
| 5 | 501,942 | 0 fixed pts | 3 cycles | 4 nodes | 7.96 avg steps | 15 max steps | 11.30 avg steps | 18 max steps | 9 final numbers |
| 6 | 3,262,623 | 2 fixed pts | 6 cycles | 46 nodes | 27.92 avg steps | 64 max steps | 66.48 avg steps | 110 max steps | 60 final numbers |
| 7 | 18,643,560 | 0 fixed pts | 1 cycle | 4 nodes | 12.89 avg steps | 24 max steps | 16.89 avg steps | 28 max steps | 4 final numbers |
| 8 | 95,548,245 | 1 fixed pt | 9 cycles | 14 nodes | 42.10 avg steps | 100 max steps | 48.10 avg steps | 114 max steps | 47 final numbers |
| 9 | 445,891,810 | 3 fixed pts | 4 cycles | 23 nodes | 11.20 avg steps | 24 max steps | 32.25 avg steps | 47 max steps | 26 final numbers |
| 10 | 1,917,334,783 | 1 fixed pt | 20 cycles | 54 nodes | 51.90 avg steps | 156 max steps | 64.30 avg steps | 171 max steps | 152 final numbers |
| 11 | 7,669,339,132 | 1 fixed pt | 3 cycles | 50 nodes | 19.08 avg steps | 57 max steps | 66.00 avg steps | 107 max steps | 54 final numbers |