Base 13: Cycles Lengths: Odd 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 16 17 18 19 20 21 22 23
10 cycles-----------------------
31 cycle -442×
---------------------
51 cycle ---6,175×
-------------------
73 cycles-29,057×
---------21,318×
-----------
93 cycles----293,917×
------------------
111 cycle -------------1,352,065×
---------
133 cycles-59,957×
-------5,140,330×
-------------
152 cycles-82,053×
-----------17,301,794×
---------
174 cycles-107,454×
--------------3,128,347×
-----48,660,121×
192 cycles-156,118×
-----140,964,394×
---------------
214 cycles-217,519×
345,578×
---51,678,967×
----------302,575,243×
-----
234 cycles773,075,258×
306,591×
---23,425,576×
--------37,644,362×
--------
255 cycles239,113,587×
374,903×
----322,856,847×
1,290,137,646×
---------------
276 cycles1,785,746,063×
532,900×
--2,124,518,460×
------------------
299 cycles1,352,807,526×
11,429,178×
2,625,975,232×
-3,908,442,971×
------------------