| 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 | 17 | 0 fixed pts | 0 cycles | 0 nodes | 0.94 avg steps | 1 max steps | 1.94 avg steps | 2 max steps | 0 final numbers |
| 3 | 969 | 0 fixed pts | 1 cycle | 2 nodes | 4.18 avg steps | 9 max steps | 6.17 avg steps | 11 max steps | 2 final numbers |
| 5 | 20,349 | 0 fixed pts | 1 cycle | 4 nodes | 5.63 avg steps | 11 max steps | 9.63 avg steps | 15 max steps | 4 final numbers |
| 7 | 245,157 | 0 fixed pts | 3 cycles | 4 nodes | 10.65 avg steps | 29 max steps | 12.76 avg steps | 31 max steps | 8 final numbers |
| 9 | 2,042,975 | 1 fixed pt | 3 cycles | 7 nodes | 15.19 avg steps | 40 max steps | 21.95 avg steps | 47 max steps | 14 final numbers |
| 11 | 13,037,895 | 0 fixed pts | 2 cycles | 18 nodes | 20.29 avg steps | 44 max steps | 29.13 avg steps | 55 max steps | 22 final numbers |
| 13 | 67,863,915 | 0 fixed pts | 2 cycles | 9 nodes | 12.88 avg steps | 38 max steps | 17.66 avg steps | 42 max steps | 13 final numbers |
| 15 | 300,540,195 | 2 fixed pts | 3 cycles | 2 nodes | 32.33 avg steps | 63 max steps | 33.34 avg steps | 64 max steps | 4 final numbers |
| 17 | 1,166,803,110 | 0 fixed pts | 6 cycles | 18 nodes | 12.78 avg steps | 51 max steps | 23.45 avg steps | 69 max steps | 37 final numbers |
| 19 | 4,059,928,950 | 0 fixed pts | 6 cycles | 11 nodes | 14.71 avg steps | 39 max steps | 20.04 avg steps | 50 max steps | 28 final numbers |