Base 16: Cycles Lengths: Odd Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF

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
10 cycles---------------
31 cycle 800×
--------------
53 cycles-270×
10,386×
4,832×
-----------
73 cycles13,266×
-------51,498×
-105,764×
----
95 cycles23,300×
----256,188×
443,256×
584,744×
-------
114 cycles1,149,790×
-613,862×
----4,185,466×
1,777,026×
------
134 cycles70,892×
11,921,850×
-25,449,402×
-----------
156 cycles5,319,398×
13,463,238×
------------136,334,868×
176 cycles509,481,030×
56,241,674×
-------------
1910 cycles54,593,848×
1,750,133,256×
---51,240,400×
---------
2120 cycles398,437,356×
4,321,534,606×
113,407,400×
--734,523,182×
---------
2327 cycles77,959,578×
11,039,347,686×
449,873,412×
--3,904,105,868×
---------
2541 cycles166,969,702×
23,932,528,382×
3,329,474,748×
--12,796,372,208×
---------
2762 cycles220,026,662×
49,175,574,462×
6,429,751,422×
240,001,046×
-42,607,074,008×
---------