| 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) |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 210 | 1 fixed pt | 3 cycles | 6 nodes | 1.40 avg steps | 2 max steps | 5.66 avg steps | 8 max steps | 10 final numbers |
| 4 | 8,855 | 1 fixed pt | 2 cycles | 6 nodes | 4.93 avg steps | 10 max steps | 7.11 avg steps | 11 max steps | 7 final numbers |
| 6 | 177,100 | 2 fixed pts | 6 cycles | 17 nodes | 7.61 avg steps | 18 max steps | 18.77 avg steps | 35 max steps | 33 final numbers |
| 8 | 2,220,075 | 0 fixed pts | 2 cycles | 11 nodes | 34.49 avg steps | 79 max steps | 40.81 avg steps | 90 max steps | 13 final numbers |
| 10 | 20,030,010 | 0 fixed pts | 4 cycles | 23 nodes | 29.03 avg steps | 79 max steps | 46.42 avg steps | 95 max steps | 70 final numbers |
| 12 | 141,120,525 | 1 fixed pt | 3 cycles | 28 nodes | 74.66 avg steps | 156 max steps | 92.83 avg steps | 172 max steps | 45 final numbers |
| 14 | 818,809,200 | 3 fixed pts | 5 cycles | 40 nodes | 115.72 avg steps | 267 max steps | 152.39 avg steps | 307 max steps | 55 final numbers |
| 16 | 4,059,928,950 | 0 fixed pts | 5 cycles | 138 nodes | 58.06 avg steps | 172 max steps | 112.78 avg steps | 217 max steps | 168 final numbers |