Base 36: Final Numbers: Fixed Points

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl

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 # Cycles
(excluding fixed)
(excluding zero)
# Fixed Points
(cycle length 1)
(excluding zero)
Fixed Points
(excluding zero)
(bold = exactly 1 fixed point [excluding zero], no other cycles)
10 cycles0 fixed pts-
21 cycle 0 fixed pts-
30 cycles1 fixed pt HZI
42 cycles0 fixed pts-
51 cycle 1 fixed pt OBZNC
64 cycles1 fixed pt IHZZHI
71 cycle 1 fixed pt RI8ZQH9
84 cycles1 fixed pt ONBZZNCC
93 cycles2 fixed ptsTMF6ZSKD7, IIHZZZHHI
104 cycles1 fixed pt OOCBZZNNBC