Base 22: 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-
21 cycle 0 fixed pts-
30 cycles1 fixed pt ALB
42 cycles0 fixed pts-
53 cycles0 fixed pts-
62 cycles1 fixed pt BALLAB
71 cycle 0 fixed pts-
82 cycles0 fixed pts-
91 cycle 2 fixed ptsIEA3LHB74, BBALLLAAB
102 cycles0 fixed pts-
113 cycles1 fixed pt IEA73LHEB74
122 cycles1 fixed pt BBBALLLLAAAB
134 cycles1 fixed pt IEA773LHEEB74
146 cycles2 fixed ptsLJHDB50KGA8421, HGC974LLGEC955
156 cycles3 fixed ptsJGDB852LIGDA853, IEA7773LHEEEB74, BBBBALLLLLAAAAB