Base 27: 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-
410 cycles0 fixed pts-
50 cycles1 fixed pt I8QH9
63 cycles1 fixed pt JB3MF8
71 cycle 0 fixed pts-
85 cycles2 fixed ptsNJC1OE74, IH8QQH99
93 cycles1 fixed pt MHC4QLE95
101 cycle 1 fixed pt II98QQHH89
112 cycles1 fixed pt IHH8QQQH999
126 cycles0 fixed pts-
134 cycles1 fixed pt IIH98QQQHH989