Base 14: Cycles Lengths: Odd Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCD

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 25 26 27 28 29 30 31 32
10 cycles--------------------------------
31 cycle 546×
-------------------------------
52 cycles-208×
-8,346×
----------------------------
71 cycle -------77,506×
------------------------
93 cycles5,566×
------491,840×
------------------------
113 cycles-1,156,142×
--145,730×
----1,194,258×
----------------------
133 cycles311,338×
-346,016×
-------------9,743,232×
---------------
153 cycles133,324×
-----------37,308,822×
-------------------
171 cycle -------------------------------119,759,836×
194 cycles9,180×
---------156,703,620×
-------------190,660,786×
-------
213 cycles56×
------80,666,998×
---------------847,316,692×
--------
234 cycles11,484×
------1,833,328,278×
-----477,449,824×
------------------
253 cycles-------2,177,927,584×
--3,237,022,698×
---------------------