| 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 |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| 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 | 39 | 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 | 780 | 0 fixed pts | 1 cycle | 2 nodes | 3.79 avg steps | 5 max steps | 5.57 avg steps | 7 max steps | 2 final numbers |
| 3 | 10,660 | 0 fixed pts | 1 cycle | 2 nodes | 8.41 avg steps | 20 max steps | 10.41 avg steps | 22 max steps | 2 final numbers |
| 4 | 111,930 | 0 fixed pts | 17 cycles | 12 nodes | 1.85 avg steps | 4 max steps | 12.88 avg steps | 16 max steps | 171 final numbers |
| 5 | 962,598 | 1 fixed pt | 1 cycle | 1 node | 11.39 avg steps | 21 max steps | 12.39 avg steps | 22 max steps | 1 final number |
| 6 | 7,059,052 | 0 fixed pts | 1 cycle | 24 nodes | 25.59 avg steps | 60 max steps | 49.59 avg steps | 84 max steps | 24 final numbers |
| 7 | 45,379,620 | 0 fixed pts | 1 cycle | 8 nodes | 13.42 avg steps | 35 max steps | 21.42 avg steps | 43 max steps | 8 final numbers |
| 8 | 260,932,815 | 1 fixed pt | 6 cycles | 16 nodes | 52.65 avg steps | 139 max steps | 68.05 avg steps | 155 max steps | 52 final numbers |
| 9 | 1,362,649,145 | 2 fixed pts | 4 cycles | 23 nodes | 13.98 avg steps | 35 max steps | 35.12 avg steps | 58 max steps | 27 final numbers |
| 10 | 6,540,715,896 | 2 fixed pts | 9 cycles | 48 nodes | 51.81 avg steps | 157 max steps | 77.14 avg steps | 176 max steps | 169 final numbers |