| 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 | 24 | 0 fixed pts | 0 cycles | 0 nodes | 0.96 avg steps | 1 max steps | 1.96 avg steps | 2 max steps | 0 final numbers |
| 3 | 2,600 | 1 fixed pt | 1 cycle | 1 node | 6.06 avg steps | 13 max steps | 7.06 avg steps | 14 max steps | 1 final number |
| 5 | 98,280 | 1 fixed pt | 2 cycles | 2 nodes | 8.80 avg steps | 16 max steps | 9.81 avg steps | 17 max steps | 3 final numbers |
| 7 | 2,035,800 | 1 fixed pt | 2 cycles | 19 nodes | 6.51 avg steps | 14 max steps | 23.12 avg steps | 33 max steps | 20 final numbers |
| 9 | 28,048,800 | 2 fixed pts | 4 cycles | 27 nodes | 11.11 avg steps | 33 max steps | 24.51 avg steps | 50 max steps | 36 final numbers |
| 11 | 286,097,760 | 2 fixed pts | 4 cycles | 16 nodes | 20.51 avg steps | 45 max steps | 34.48 avg steps | 61 max steps | 29 final numbers |
| 13 | 2,310,789,600 | 1 fixed pt | 6 cycles | 18 nodes | 15.56 avg steps | 49 max steps | 25.74 avg steps | 53 max steps | 45 final numbers |