| 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 | 153 | 1 fixed pt | 2 cycles | 3 nodes | 2.05 avg steps | 3 max steps | 4.31 avg steps | 6 max steps | 4 final numbers |
| 4 | 4,845 | 0 fixed pts | 8 cycles | 4 nodes | 1.98 avg steps | 4 max steps | 5.68 avg steps | 8 max steps | 28 final numbers |
| 6 | 74,613 | 1 fixed pt | 1 cycle | 1 node | 15.49 avg steps | 40 max steps | 16.49 avg steps | 41 max steps | 1 final number |
| 8 | 735,471 | 0 fixed pts | 3 cycles | 5 nodes | 12.46 avg steps | 35 max steps | 16.27 avg steps | 39 max steps | 12 final numbers |
| 10 | 5,311,735 | 0 fixed pts | 1 cycle | 24 nodes | 17.88 avg steps | 54 max steps | 41.88 avg steps | 78 max steps | 24 final numbers |
| 12 | 30,421,755 | 0 fixed pts | 1 cycle | 31 nodes | 14.47 avg steps | 48 max steps | 45.47 avg steps | 79 max steps | 31 final numbers |
| 14 | 145,422,675 | 1 fixed pt | 2 cycles | 32 nodes | 15.28 avg steps | 49 max steps | 47.26 avg steps | 81 max steps | 33 final numbers |
| 16 | 601,080,390 | 0 fixed pts | 4 cycles | 16 nodes | 20.31 avg steps | 50 max steps | 31.65 avg steps | 66 max steps | 41 final numbers |
| 18 | 2,203,961,430 | 1 fixed pt | 4 cycles | 79 nodes | 18.76 avg steps | 64 max steps | 96.63 avg steps | 143 max steps | 87 final numbers |
| 20 | 7,307,872,110 | 0 fixed pts | 4 cycles | 37 nodes | 28.36 avg steps | 103 max steps | 55.57 avg steps | 120 max steps | 77 final numbers |