Base 13: Cycles Lengths: Even Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABC

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 2 3 4 5 6 7 8 9 10 11 12 13 14 15
21 cycle --72×
------------
43 cycles--336×
--1,471×
---------
61 cycle 18,551×
--------------
82 cycles104,016×
--21,941×
-----------
104 cycles346,542×
--16,857×
185,460×
---97,774×
------
123 cycles416,101×
3,240×
-------2,284,802×
-----
143 cycles1,248,092×
-------------8,409,595×
163 cycles2,583,672×
------3,669,958×
--24,168,112×
----
182 cycles5,162,144×
----------81,331,068×
---
205 cycles7,977,980×
-53,770,927×
---20,332,911×
----143,711,009×
---
224 cycles114,610,090×
9,084×
----97,564,253×
----336,170,600×
---
243 cycles20,053,311×
------113,689,940×
---1,117,934,436×
---
263 cycles33,179,432×
1,026,230,307×
---------1,648,065,396×
---
284 cycles49,884,776×
-----253,380,191×
----5,283,588,500×
---