| Radix Character Encoding | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C |
| 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 | 1 cycle | 0 fixed pts | - |
| 3 | 1 cycle | 0 fixed pts | - |
| 4 | 3 cycles | 0 fixed pts | - |
| 5 | 1 cycle | 0 fixed pts | - |
| 6 | 0 cycles | 1 fixed pt | 951A74 |
| 7 | 3 cycles | 0 fixed pts | - |
| 8 | 1 cycle | 1 fixed pt | 9541A874 |
| 9 | 3 cycles | 0 fixed pts | - |
| 10 | 3 cycles | 1 fixed pt | 95441A8874 |
| 11 | 1 cycle | 0 fixed pts | - |
| 12 | 2 cycles | 1 fixed pt | 954441A88874 |
| 13 | 3 cycles | 0 fixed pts | - |
| 14 | 1 cycle | 2 fixed pts | 9544441A888874, A97542CC987533 |
| 15 | 2 cycles | 0 fixed pts | - |
| 16 | 2 cycles | 1 fixed pt | 95444441A8888874 |
| 17 | 4 cycles | 0 fixed pts | - |
| 18 | 1 cycle | 1 fixed pt | 954444441A88888874 |
| 19 | 2 cycles | 0 fixed pts | - |
| 20 | 3 cycles | 2 fixed pts | 9544444441A888888874, BA9775431CCA98755322 |
| 21 | 4 cycles | 0 fixed pts | - |
| 22 | 3 cycles | 1 fixed pt | 95444444441A8888888874 |
| 23 | 3 cycles | 1 fixed pt | CBA98765320CBA976543211 |
| 24 | 2 cycles | 1 fixed pt | 954444444441A88888888874 |
| 25 | 3 cycles | 2 fixed pts | CBA987654320CBA9876543211, CCBA98765320CBA9765432101 |
| 26 | 2 cycles | 1 fixed pt | 9544444444441A888888888874 |
| 27 | 3 cycles | 3 fixed pts | CBA9876544320CBA98876543211, CCBA987654320CBA98765432101, CCCBA98765320CBA97654321001 |
| 28 | 2 cycles | 2 fixed pts | 95444444444441A8888888888874, AA9977554432CCCC998877553323 |
| 29 | 4 cycles | 5 fixed pts | CBA98765444320CBA988876543211, CCBA9876544320CBA988765432101, CCCBA987654320CBA987654321001, CCCCBA98765320CBA976543210001, BBA9877554331CCCA998775543212 |