| Radix Character Encoding | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D |
| 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 | # Cycles (excluding fixed) (excluding zero) |
# Fixed Points (cycle length 1) (excluding zero) |
Fixed Points (excluding zero) (bold = exactly 1 fixed point [excluding zero], no other cycles) |
|---|---|---|---|
| 1 | 0 cycles | 0 fixed pts | - |
| 2 | 2 cycles | 1 fixed pt | 49 |
| 3 | 0 cycles | 1 fixed pt | 6D7 |
| 4 | 1 cycle | 0 fixed pts | - |
| 5 | 2 cycles | 0 fixed pts | - |
| 6 | 3 cycles | 1 fixed pt | 76DD67 |
| 7 | 1 cycle | 0 fixed pts | - |
| 8 | 3 cycles | 1 fixed pt | CA70C632 |
| 9 | 1 cycle | 2 fixed pts | B852DA853, 776DDD667 |
| 10 | 6 cycles | 0 fixed pts | - |
| 11 | 3 cycles | 0 fixed pts | - |
| 12 | 13 cycles | 1 fixed pt | 7776DDDD6667 |
| 13 | 2 cycles | 1 fixed pt | CA8641DB97532 |
| 14 | 22 cycles | 2 fixed pts | DB97530CA86421, BA8552DDA88533 |
| 15 | 1 cycle | 2 fixed pts | CA87531DBA86532, 77776DDDDD66667 |
| 16 | 41 cycles | 1 fixed pt | DDB97530CA864201 |
| 17 | 1 cycle | 0 fixed pts | - |
| 18 | 72 cycles | 3 fixed pts | DDDB97530CA8642001, BB885532DDAA885523, 777776DDDDDD666667 |
| 19 | 3 cycles | 1 fixed pt | BAA85552DDDA8885333 |
| 20 | 125 cycles | 2 fixed pts | CBA9775310CCA8664322, DDDDB97530CA86420001 |
| 21 | 2 cycles | 1 fixed pt | 7777776DDDDDDD6666667 |
| 22 | 209 cycles | 2 fixed pts | CCA9866431DDBA97754312, DDDDDB97530CA864200001 |
| 23 | 3 cycles | 1 fixed pt | BBA8855532DDDAA88855323 |
| 24 | 350 cycles | 3 fixed pts | DDDDDDB97530CA8642000001, BAAA855552DDDDA888853333, 77777776DDDDDDDD66666667 |
| 25 | 3 cycles | 0 fixed pts | - |
| 26 | 553 cycles | 4 fixed pts | CCAA88664421DDBB9977553312, CBA987654421DDBB9987654322, DBB9977553310CCAA886644221, DDDDDDDB97530CA86420000001 |