Base 23: Final Numbers: Fixed Points

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV

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-
20 cycles1 fixed pt 7F
31 cycle 0 fixed pts-
45 cycles0 fixed pts-
51 cycle 0 fixed pts-
63 cycles0 fixed pts-
71 cycle 0 fixed pts-
83 cycles0 fixed pts-
91 cycle 1 fixed pt JFB3MIB74
104 cycles0 fixed pts-
115 cycles0 fixed pts-
122 cycles1 fixed pt JFA861KGEC74
132 cycles0 fixed pts-
144 cycles1 fixed pt IHD984MMHED955
153 cycles2 fixed ptsKHEB862MJGEB853, KHEC952MJHDA853