Base 12: Cycles Lengths: Even Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789AB

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 24
21 cycle -----66×
------------------
42 cycles--326×
--1,027×
------------------
62 cycles42×
--------12,322×
--------------
83 cycles6,625×
----------------------68,945×
104 cycles396×
-27,807×
145,895×
178,606×
-------------------
127 cycles17,547×
--96,198×
1,039,841×
-----198,480×
-------------
1412 cycles10,355×
---4,447,033×
-------------------
1620 cycles3,523×
---13,034,360×
-------------------
1841 cycles1,722,014×
---32,875,264×
-------------------
2071 cycles1,209,957×
---83,462,346×
-------------------
22121 cycles3,293,198×
1,978,172×
--188,265,338×
-------------------
24196 cycles1,093,016×
---416,132,872×
-------------------
26307 cycles293,064×
-53,242,183×
-801,456,893×
-------------------
28469 cycles5,364,541×
---1,317,734,078×
--352,957,413×
----------------
30681 cycles1,332,588×
-203,876,624×
-2,162,939,940×
-------791,312,804×
-----------
32975 cycles15,576,701×
---3,666,394,780×
-88,956,211×
-----569,641,127×
----1,411,435,518×
------