| 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 | 44 | 0 fixed pts | 0 cycles | 0 nodes | 0.98 avg steps | 1 max steps | 1.98 avg steps | 2 max steps | 0 final numbers |
| 2 | 990 | 1 fixed pt | 5 cycles | 12 nodes | 1.45 avg steps | 2 max steps | 9.06 avg steps | 14 max steps | 22 final numbers |
| 3 | 15,180 | 1 fixed pt | 1 cycle | 1 node | 9.87 avg steps | 23 max steps | 10.87 avg steps | 24 max steps | 1 final number |
| 4 | 178,365 | 0 fixed pts | 2 cycles | 5 nodes | 4.79 avg steps | 10 max steps | 9.79 avg steps | 15 max steps | 10 final numbers |
| 5 | 1,712,304 | 0 fixed pts | 2 cycles | 4 nodes | 10.06 avg steps | 21 max steps | 14.06 avg steps | 25 max steps | 6 final numbers |
| 6 | 13,983,816 | 2 fixed pts | 10 cycles | 29 nodes | 29.24 avg steps | 73 max steps | 46.60 avg steps | 102 max steps | 79 final numbers |
| 7 | 99,884,400 | 1 fixed pt | 2 cycles | 19 nodes | 9.60 avg steps | 21 max steps | 25.99 avg steps | 40 max steps | 20 final numbers |
| 8 | 636,763,050 | 0 fixed pts | 4 cycles | 112 nodes | 129.01 avg steps | 306 max steps | 238.97 avg steps | 418 max steps | 144 final numbers |
| 9 | 3,679,075,400 | 3 fixed pts | 5 cycles | 23 nodes | 16.09 avg steps | 44 max steps | 36.90 avg steps | 67 max steps | 28 final numbers |