| Radix Character Encoding | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E |
| 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 | 0 cycles | 0 fixed pts | - |
| 3 | 1 cycle | 0 fixed pts | - |
| 4 | 6 cycles | 1 fixed pt | 92B6 |
| 5 | 0 cycles | 1 fixed pt | A4E95 |
| 6 | 2 cycles | 0 fixed pts | - |
| 7 | 2 cycles | 0 fixed pts | - |
| 8 | 3 cycles | 1 fixed pt | A94EE955 |
| 9 | 2 cycles | 1 fixed pt | C962EB853 |
| 10 | 2 cycles | 1 fixed pt | AA54EE9945 |
| 11 | 3 cycles | 1 fixed pt | A994EEE9555 |
| 12 | 2 cycles | 0 fixed pts | - |
| 13 | 1 cycle | 1 fixed pt | AA954EEE99545 |
| 14 | 3 cycles | 1 fixed pt | A9994EEEE95555 |
| 15 | 4 cycles | 3 fixed pts | DB97541ECA97532, DB98631ECB86532, AAA554EEE999445 |
| 16 | 4 cycles | 2 fixed pts | CC98642EEBA86523, AA9954EEEE995545 |
| 17 | 4 cycles | 1 fixed pt | A99994EEEEE955555 |
| 18 | 3 cycles | 2 fixed pts | CC996632EEBB885523, AAA9554EEEE9995445 |
| 19 | 3 cycles | 1 fixed pt | AA99954EEEEE9955545 |
| 20 | 3 cycles | 2 fixed pts | A999994EEEEEE9555555, AAAA5554EEEE99994445 |
| 21 | 2 cycles | 1 fixed pt | AAA99554EEEEE99955445 |
| 22 | 5 cycles | 1 fixed pt | AA999954EEEEEE99555545 |
| 23 | 2 cycles | 5 fixed pts | EDCB9875430EDBA97653211, CBB9866532EEEBB98865333, CCC9886442EEEBAA8665223, A9999994EEEEEEE95555555, AAAA95554EEEEE999954445 |
| 24 | 7 cycles | 2 fixed pts | DCB99866331EECBB88655322, AAA999554EEEEEE999555445 |