| 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 | 21 | 0 fixed pts | 0 cycles | 0 nodes | 0.95 avg steps | 1 max steps | 1.95 avg steps | 2 max steps | 0 final numbers |
| 2 | 231 | 0 fixed pts | 1 cycle | 5 nodes | 2.09 avg steps | 3 max steps | 6.55 avg steps | 8 max steps | 5 final numbers |
| 3 | 1,771 | 0 fixed pts | 1 cycle | 2 nodes | 4.97 avg steps | 11 max steps | 6.96 avg steps | 13 max steps | 2 final numbers |
| 4 | 10,626 | 0 fixed pts | 9 cycles | 6 nodes | 1.94 avg steps | 4 max steps | 7.36 avg steps | 10 max steps | 45 final numbers |
| 5 | 53,130 | 1 fixed pt | 1 cycle | 1 node | 8.58 avg steps | 15 max steps | 9.58 avg steps | 16 max steps | 1 final number |
| 6 | 230,230 | 0 fixed pts | 1 cycle | 13 nodes | 15.68 avg steps | 33 max steps | 28.68 avg steps | 46 max steps | 13 final numbers |
| 7 | 888,030 | 0 fixed pts | 3 cycles | 4 nodes | 10.96 avg steps | 25 max steps | 13.05 avg steps | 27 max steps | 8 final numbers |
| 8 | 3,108,105 | 1 fixed pt | 4 cycles | 17 nodes | 10.88 avg steps | 30 max steps | 22.89 avg steps | 45 max steps | 27 final numbers |
| 9 | 10,015,005 | 1 fixed pt | 4 cycles | 18 nodes | 13.13 avg steps | 37 max steps | 25.54 avg steps | 55 max steps | 27 final numbers |
| 10 | 30,045,015 | 1 fixed pt | 2 cycles | 37 nodes | 33.05 avg steps | 73 max steps | 70.04 avg steps | 110 max steps | 38 final numbers |
| 11 | 84,672,315 | 1 fixed pt | 4 cycles | 59 nodes | 11.86 avg steps | 36 max steps | 66.19 avg steps | 95 max steps | 75 final numbers |
| 12 | 225,792,840 | 0 fixed pts | 2 cycles | 21 nodes | 12.95 avg steps | 38 max steps | 33.06 avg steps | 57 max steps | 40 final numbers |
| 13 | 573,166,440 | 2 fixed pts | 5 cycles | 8 nodes | 38.50 avg steps | 97 max steps | 44.94 avg steps | 103 max steps | 18 final numbers |
| 14 | 1,391,975,640 | 2 fixed pts | 5 cycles | 26 nodes | 23.23 avg steps | 77 max steps | 45.29 avg steps | 103 max steps | 42 final numbers |
| 15 | 3,247,943,160 | 1 fixed pt | 2 cycles | 28 nodes | 50.16 avg steps | 107 max steps | 78.16 avg steps | 135 max steps | 29 final numbers |
| 16 | 7,307,872,110 | 1 fixed pt | 3 cycles | 26 nodes | 22.62 avg steps | 62 max steps | 44.57 avg steps | 88 max steps | 40 final numbers |