| 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 | 36 | 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 | 666 | 0 fixed pts | 1 cycle | 18 nodes | 1.44 avg steps | 2 max steps | 18.53 avg steps | 20 max steps | 18 final numbers |
| 3 | 8,436 | 1 fixed pt | 1 cycle | 1 node | 8.35 avg steps | 19 max steps | 9.35 avg steps | 20 max steps | 1 final number |
| 4 | 82,251 | 0 fixed pts | 2 cycles | 3 nodes | 5.09 avg steps | 10 max steps | 8.09 avg steps | 13 max steps | 6 final numbers |
| 5 | 658,008 | 1 fixed pt | 2 cycles | 2 nodes | 10.88 avg steps | 21 max steps | 11.88 avg steps | 22 max steps | 3 final numbers |
| 6 | 4,496,388 | 1 fixed pt | 5 cycles | 111 nodes | 13.08 avg steps | 43 max steps | 113.49 avg steps | 154 max steps | 145 final numbers |
| 7 | 26,978,328 | 1 fixed pt | 2 cycles | 19 nodes | 8.40 avg steps | 19 max steps | 25.19 avg steps | 38 max steps | 20 final numbers |
| 8 | 145,008,513 | 1 fixed pt | 5 cycles | 85 nodes | 71.40 avg steps | 228 max steps | 153.63 avg steps | 313 max steps | 136 final numbers |
| 9 | 708,930,508 | 2 fixed pts | 5 cycles | 9 nodes | 14.58 avg steps | 39 max steps | 18.23 avg steps | 40 max steps | 19 final numbers |
| 10 | 3,190,187,286 | 1 fixed pt | 5 cycles | 163 nodes | 147.97 avg steps | 361 max steps | 303.48 avg steps | 524 max steps | 242 final numbers |