| 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 | 48 | 0 fixed pts | 0 cycles | 0 nodes | 0.98 avg steps | 1 max steps | 1.98 avg steps | 2 max steps | 0 final numbers |
| 2 | 1,176 | 0 fixed pts | 2 cycles | 21 nodes | 1.46 avg steps | 2 max steps | 19.48 avg steps | 23 max steps | 24 final numbers |
| 3 | 19,600 | 1 fixed pt | 1 cycle | 1 node | 10.62 avg steps | 25 max steps | 11.62 avg steps | 26 max steps | 1 final number |
| 4 | 249,900 | 0 fixed pts | 2 cycles | 10 nodes | 5.33 avg steps | 11 max steps | 14.07 avg steps | 21 max steps | 15 final numbers |
| 5 | 2,598,960 | 1 fixed pt | 2 cycles | 2 nodes | 12.88 avg steps | 23 max steps | 13.89 avg steps | 24 max steps | 3 final numbers |
| 6 | 22,957,480 | 2 fixed pts | 3 cycles | 28 nodes | 35.45 avg steps | 75 max steps | 63.44 avg steps | 103 max steps | 30 final numbers |
| 7 | 177,100,560 | 1 fixed pt | 2 cycles | 19 nodes | 10.21 avg steps | 20 max steps | 26.82 avg steps | 39 max steps | 20 final numbers |
| 8 | 1,217,566,350 | 2 fixed pts | 7 cycles | 113 nodes | 98.98 avg steps | 248 max steps | 207.79 avg steps | 361 max steps | 216 final numbers |
| 9 | 7,575,968,400 | 2 fixed pts | 7 cycles | 17 nodes | 14.16 avg steps | 36 max steps | 22.42 avg steps | 48 max steps | 41 final numbers |