| 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 | 28 | 0 fixed pts | 0 cycles | 0 nodes | 0.96 avg steps | 1 max steps | 1.96 avg steps | 2 max steps | 0 final numbers |
| 2 | 406 | 0 fixed pts | 1 cycle | 14 nodes | 1.43 avg steps | 2 max steps | 14.53 avg steps | 16 max steps | 14 final numbers |
| 3 | 4,060 | 1 fixed pt | 1 cycle | 1 node | 6.83 avg steps | 15 max steps | 7.83 avg steps | 16 max steps | 1 final number |
| 4 | 31,465 | 0 fixed pts | 1 cycle | 3 nodes | 6.15 avg steps | 16 max steps | 9.15 avg steps | 19 max steps | 3 final numbers |
| 5 | 201,376 | 0 fixed pts | 3 cycles | 4 nodes | 6.88 avg steps | 13 max steps | 10.22 avg steps | 16 max steps | 9 final numbers |
| 6 | 1,107,568 | 1 fixed pt | 5 cycles | 30 nodes | 18.81 avg steps | 51 max steps | 45.29 avg steps | 81 max steps | 52 final numbers |
| 7 | 5,379,616 | 1 fixed pt | 2 cycles | 19 nodes | 6.98 avg steps | 15 max steps | 23.72 avg steps | 34 max steps | 20 final numbers |
| 8 | 23,535,820 | 1 fixed pt | 5 cycles | 31 nodes | 34.78 avg steps | 130 max steps | 50.25 avg steps | 138 max steps | 46 final numbers |
| 9 | 94,143,280 | 2 fixed pts | 3 cycles | 10 nodes | 13.10 avg steps | 37 max steps | 22.98 avg steps | 47 max steps | 12 final numbers |
| 10 | 348,330,136 | 1 fixed pt | 8 cycles | 111 nodes | 37.16 avg steps | 115 max steps | 136.51 avg steps | 226 max steps | 163 final numbers |
| 11 | 1,203,322,288 | 1 fixed pt | 4 cycles | 19 nodes | 28.70 avg steps | 72 max steps | 39.61 avg steps | 83 max steps | 34 final numbers |
| 12 | 3,910,797,436 | 2 fixed pts | 13 cycles | 26 nodes | 75.00 avg steps | 231 max steps | 96.49 avg steps | 257 max steps | 70 final numbers |