| 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 | 26 | 0 fixed pts | 0 cycles | 0 nodes | 0.96 avg steps | 1 max steps | 1.96 avg steps | 2 max steps | 0 final numbers |
| 2 | 351 | 1 fixed pt | 3 cycles | 9 nodes | 1.42 avg steps | 2 max steps | 7.98 avg steps | 11 max steps | 13 final numbers |
| 3 | 3,276 | 1 fixed pt | 1 cycle | 1 node | 6.44 avg steps | 14 max steps | 7.44 avg steps | 15 max steps | 1 final number |
| 4 | 23,751 | 0 fixed pts | 3 cycles | 6 nodes | 3.38 avg steps | 7 max steps | 8.80 avg steps | 13 max steps | 15 final numbers |
| 5 | 142,506 | 0 fixed pts | 2 cycles | 4 nodes | 7.05 avg steps | 15 max steps | 11.04 avg steps | 19 max steps | 6 final numbers |
| 6 | 736,281 | 2 fixed pts | 4 cycles | 9 nodes | 33.14 avg steps | 65 max steps | 41.94 avg steps | 74 max steps | 14 final numbers |
| 7 | 3,365,856 | 0 fixed pts | 1 cycle | 4 nodes | 12.01 avg steps | 21 max steps | 16.01 avg steps | 25 max steps | 4 final numbers |
| 8 | 13,884,156 | 0 fixed pts | 3 cycles | 44 nodes | 28.80 avg steps | 85 max steps | 62.43 avg steps | 129 max steps | 51 final numbers |
| 9 | 52,451,256 | 2 fixed pts | 3 cycles | 2 nodes | 20.71 avg steps | 45 max steps | 22.70 avg steps | 47 max steps | 4 final numbers |
| 10 | 183,579,396 | 2 fixed pts | 8 cycles | 124 nodes | 35.91 avg steps | 126 max steps | 146.31 avg steps | 250 max steps | 189 final numbers |
| 11 | 600,805,296 | 0 fixed pts | 4 cycles | 10 nodes | 19.06 avg steps | 51 max steps | 25.16 avg steps | 56 max steps | 27 final numbers |
| 12 | 1,852,482,996 | 1 fixed pt | 11 cycles | 149 nodes | 72.55 avg steps | 262 max steps | 193.13 avg steps | 411 max steps | 310 final numbers |
| 13 | 5,414,950,296 | 0 fixed pts | 6 cycles | 19 nodes | 12.77 avg steps | 43 max steps | 26.07 avg steps | 56 max steps | 60 final numbers |