Base 2: Cycles Lengths: Odd Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
01

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits # Full Cycles
(excluding zero)
Nodes
1
10 cycles-
31 cycle 
52 cycles
73 cycles
94 cycles
115 cycles10×
136 cycles12×
157 cycles14×
178 cycles16×
199 cycles18×
2110 cycles20×
2311 cycles22×
2512 cycles24×
2713 cycles26×
2914 cycles28×
3115 cycles30×
3316 cycles32×
3517 cycles34×
3718 cycles36×
3919 cycles38×
4120 cycles40×
4321 cycles42×
4522 cycles44×
4723 cycles46×
4924 cycles48×
5125 cycles50×
5326 cycles52×
5527 cycles54×
5728 cycles56×
5929 cycles58×
6130 cycles60×
6331 cycles62×
6532 cycles64×
6733 cycles66×
6934 cycles68×
7135 cycles70×
7336 cycles72×
7537 cycles74×
7738 cycles76×
7939 cycles78×
8140 cycles80×
8341 cycles82×
8542 cycles84×
8743 cycles86×
8944 cycles88×
9145 cycles90×
9346 cycles92×
9547 cycles94×
9748 cycles96×
9949 cycles98×