| 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 | 190 | 0 fixed pts | 1 cycle | 2 nodes | 2.82 avg steps | 4 max steps | 4.57 avg steps | 6 max steps | 2 final numbers |
| 4 | 7,315 | 0 fixed pts | 4 cycles | 9 nodes | 1.97 avg steps | 4 max steps | 10.95 avg steps | 13 max steps | 36 final numbers |
| 6 | 134,596 | 0 fixed pts | 5 cycles | 6 nodes | 8.63 avg steps | 26 max steps | 12.60 avg steps | 28 max steps | 21 final numbers |
| 8 | 1,562,275 | 0 fixed pts | 3 cycles | 5 nodes | 10.25 avg steps | 35 max steps | 15.21 avg steps | 40 max steps | 14 final numbers |
| 10 | 13,123,110 | 1 fixed pt | 5 cycles | 10 nodes | 10.43 avg steps | 32 max steps | 14.40 avg steps | 37 max steps | 25 final numbers |
| 12 | 86,493,225 | 1 fixed pt | 6 cycles | 9 nodes | 12.15 avg steps | 38 max steps | 14.79 avg steps | 41 max steps | 27 final numbers |
| 14 | 471,435,600 | 2 fixed pts | 8 cycles | 5 nodes | 12.08 avg steps | 40 max steps | 14.64 avg steps | 43 max steps | 25 final numbers |
| 16 | 2,203,961,430 | 2 fixed pts | 11 cycles | 5 nodes | 11.49 avg steps | 34 max steps | 14.27 avg steps | 37 max steps | 34 final numbers |
| 18 | 9,075,135,300 | 3 fixed pts | 17 cycles | 5 nodes | 11.60 avg steps | 38 max steps | 14.38 avg steps | 39 max steps | 50 final numbers |