Base 2: Cycles Lengths: Even 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
21 cycle 
42 cycles
63 cycles
84 cycles
105 cycles
126 cycles11×
147 cycles13×
168 cycles15×
189 cycles17×
2010 cycles19×
2211 cycles21×
2412 cycles23×
2613 cycles25×
2814 cycles27×
3015 cycles29×
3216 cycles31×
3417 cycles33×
3618 cycles35×
3819 cycles37×
4020 cycles39×
4221 cycles41×
4422 cycles43×
4623 cycles45×
4824 cycles47×
5025 cycles49×
5226 cycles51×
5427 cycles53×
5628 cycles55×
5829 cycles57×
6030 cycles59×
6231 cycles61×
6432 cycles63×
6633 cycles65×
6834 cycles67×
7035 cycles69×
7236 cycles71×
7437 cycles73×
7638 cycles75×
7839 cycles77×
8040 cycles79×
8241 cycles81×
8442 cycles83×
8643 cycles85×
8844 cycles87×
9045 cycles89×
9246 cycles91×
9447 cycles93×
9648 cycles95×
9849 cycles97×
10050 cycles99×