| 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 | 23 | 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 | 276 | 1 fixed pt | 1 cycle | 1 node | 3.61 avg steps | 5 max steps | 4.61 avg steps | 6 max steps | 1 final number |
| 3 | 2,300 | 0 fixed pts | 1 cycle | 2 nodes | 5.36 avg steps | 12 max steps | 7.35 avg steps | 14 max steps | 2 final numbers |
| 4 | 14,950 | 0 fixed pts | 5 cycles | 11 nodes | 1.93 avg steps | 4 max steps | 12.91 avg steps | 15 max steps | 55 final numbers |
| 5 | 80,730 | 0 fixed pts | 1 cycle | 4 nodes | 6.53 avg steps | 13 max steps | 10.52 avg steps | 17 max steps | 4 final numbers |
| 6 | 376,740 | 0 fixed pts | 3 cycles | 13 nodes | 8.16 avg steps | 21 max steps | 19.86 avg steps | 34 max steps | 27 final numbers |
| 7 | 1,560,780 | 0 fixed pts | 1 cycle | 8 nodes | 11.49 avg steps | 31 max steps | 19.49 avg steps | 39 max steps | 8 final numbers |
| 8 | 5,852,925 | 0 fixed pts | 3 cycles | 23 nodes | 17.34 avg steps | 52 max steps | 37.30 avg steps | 70 max steps | 46 final numbers |
| 9 | 20,160,075 | 1 fixed pt | 2 cycles | 38 nodes | 10.01 avg steps | 31 max steps | 47.76 avg steps | 69 max steps | 39 final numbers |
| 10 | 64,512,240 | 0 fixed pts | 4 cycles | 41 nodes | 16.13 avg steps | 79 max steps | 52.76 avg steps | 120 max steps | 98 final numbers |
| 11 | 193,536,720 | 0 fixed pts | 5 cycles | 49 nodes | 13.52 avg steps | 37 max steps | 53.65 avg steps | 86 max steps | 71 final numbers |
| 12 | 548,354,040 | 1 fixed pt | 3 cycles | 13 nodes | 34.26 avg steps | 120 max steps | 46.88 avg steps | 133 max steps | 19 final numbers |
| 13 | 1,476,337,800 | 0 fixed pts | 2 cycles | 83 nodes | 18.57 avg steps | 62 max steps | 101.57 avg steps | 145 max steps | 85 final numbers |
| 14 | 3,796,297,200 | 1 fixed pt | 5 cycles | 30 nodes | 26.75 avg steps | 81 max steps | 43.23 avg steps | 111 max steps | 43 final numbers |
| 15 | 9,364,199,760 | 2 fixed pts | 5 cycles | 71 nodes | 21.92 avg steps | 64 max steps | 79.87 avg steps | 135 max steps | 80 final numbers |