| 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 | 171 | 0 fixed pts | 1 cycle | 9 nodes | 1.39 avg steps | 2 max steps | 9.54 avg steps | 11 max steps | 9 final numbers |
| 4 | 5,985 | 0 fixed pts | 2 cycles | 3 nodes | 3.72 avg steps | 7 max steps | 6.71 avg steps | 10 max steps | 6 final numbers |
| 6 | 100,947 | 1 fixed pt | 5 cycles | 12 nodes | 10.65 avg steps | 30 max steps | 17.48 avg steps | 37 max steps | 27 final numbers |
| 8 | 1,081,575 | 1 fixed pt | 6 cycles | 32 nodes | 10.77 avg steps | 43 max steps | 32.44 avg steps | 75 max steps | 63 final numbers |
| 10 | 8,436,285 | 3 fixed pts | 9 cycles | 8 nodes | 33.78 avg steps | 89 max steps | 37.00 avg steps | 90 max steps | 29 final numbers |
| 12 | 51,895,935 | 2 fixed pts | 19 cycles | 63 nodes | 14.90 avg steps | 46 max steps | 34.62 avg steps | 102 max steps | 137 final numbers |
| 14 | 265,182,525 | 3 fixed pts | 48 cycles | 8 nodes | 19.76 avg steps | 64 max steps | 23.77 avg steps | 68 max steps | 183 final numbers |
| 16 | 1,166,803,110 | 2 fixed pts | 104 cycles | 8 nodes | 18.99 avg steps | 66 max steps | 23.02 avg steps | 70 max steps | 422 final numbers |
| 18 | 4,537,567,650 | 6 fixed pts | 242 cycles | 8 nodes | 18.16 avg steps | 65 max steps | 22.12 avg steps | 69 max steps | 950 final numbers |