Base 19: 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-
31 cycle 0 fixed pts-
44 cycles0 fixed pts-
52 cycles0 fixed pts-
65 cycles0 fixed pts-
71 cycle 0 fixed pts-
83 cycles0 fixed pts-
91 cycle 1 fixed pt FB73IEB74
104 cycles1 fixed pt FBA41GE874
112 cycles0 fixed pts-
125 cycles1 fixed pt FBA641GEC874
132 cycles0 fixed pts-
146 cycles2 fixed ptsFBA6641GECC874, FEB773IIEBB744
152 cycles1 fixed pt HFDA851IGDA8532
169 cycles2 fixed ptsFBA66641GECCC874, FEBAA421GGE88744
174 cycles0 fixed pts-
1814 cycles3 fixed ptsFBA666641GECCCC874, FEBAA6421GGEC88744, FFBB7743IIEEBB7734