| 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 | 32 | 0 fixed pts | 0 cycles | 0 nodes | 0.97 avg steps | 1 max steps | 1.97 avg steps | 2 max steps | 0 final numbers |
| 2 | 528 | 1 fixed pt | 4 cycles | 5 nodes | 1.44 avg steps | 2 max steps | 5.96 avg steps | 7 max steps | 16 final numbers |
| 3 | 5,984 | 1 fixed pt | 1 cycle | 1 node | 7.59 avg steps | 17 max steps | 8.59 avg steps | 18 max steps | 1 final number |
| 4 | 52,360 | 0 fixed pts | 4 cycles | 7 nodes | 4.25 avg steps | 7 max steps | 10.62 avg steps | 14 max steps | 24 final numbers |
| 5 | 376,992 | 0 fixed pts | 2 cycles | 4 nodes | 8.08 avg steps | 17 max steps | 12.07 avg steps | 21 max steps | 6 final numbers |
| 6 | 2,324,784 | 1 fixed pt | 12 cycles | 24 nodes | 14.79 avg steps | 37 max steps | 24.60 avg steps | 53 max steps | 76 final numbers |
| 7 | 12,620,256 | 1 fixed pt | 2 cycles | 19 nodes | 7.90 avg steps | 18 max steps | 24.29 avg steps | 37 max steps | 20 final numbers |
| 8 | 61,523,748 | 0 fixed pts | 34 cycles | 10 nodes | 16.58 avg steps | 54 max steps | 24.07 avg steps | 64 max steps | 220 final numbers |
| 9 | 273,438,880 | 2 fixed pts | 4 cycles | 7 nodes | 15.42 avg steps | 34 max steps | 17.97 avg steps | 36 max steps | 11 final numbers |
| 10 | 1,121,099,408 | 0 fixed pts | 117 cycles | 10 nodes | 14.12 avg steps | 51 max steps | 21.53 avg steps | 61 max steps | 817 final numbers |
| 11 | 4,280,561,376 | 0 fixed pts | 5 cycles | 12 nodes | 30.22 avg steps | 71 max steps | 35.37 avg steps | 75 max steps | 33 final numbers |