| 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 |
| 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 | 31 | 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 | 496 | 0 fixed pts | 0 cycles | 0 nodes | 4.90 avg steps | 6 max steps | 5.90 avg steps | 7 max steps | 0 final numbers |
| 3 | 5,456 | 0 fixed pts | 1 cycle | 2 nodes | 6.89 avg steps | 16 max steps | 8.89 avg steps | 18 max steps | 2 final numbers |
| 4 | 46,376 | 0 fixed pts | 21 cycles | 5 nodes | 1.88 avg steps | 4 max steps | 6.88 avg steps | 9 max steps | 105 final numbers |
| 5 | 324,632 | 0 fixed pts | 2 cycles | 4 nodes | 7.41 avg steps | 15 max steps | 10.74 avg steps | 18 max steps | 7 final numbers |
| 6 | 1,947,792 | 0 fixed pts | 2 cycles | 33 nodes | 11.62 avg steps | 35 max steps | 44.18 avg steps | 68 max steps | 38 final numbers |
| 7 | 10,295,472 | 0 fixed pts | 1 cycle | 8 nodes | 12.80 avg steps | 31 max steps | 20.80 avg steps | 39 max steps | 8 final numbers |
| 8 | 48,903,492 | 1 fixed pt | 3 cycles | 20 nodes | 27.44 avg steps | 81 max steps | 46.67 avg steps | 101 max steps | 39 final numbers |
| 9 | 211,915,132 | 1 fixed pt | 5 cycles | 11 nodes | 11.63 avg steps | 39 max steps | 18.94 avg steps | 45 max steps | 29 final numbers |
| 10 | 847,660,528 | 1 fixed pt | 4 cycles | 5 nodes | 53.25 avg steps | 136 max steps | 57.08 avg steps | 140 max steps | 12 final numbers |
| 11 | 3,159,461,968 | 0 fixed pts | 5 cycles | 12 nodes | 33.64 avg steps | 80 max steps | 41.78 avg steps | 88 max steps | 45 final numbers |