Base 20: 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-
22 cycles1 fixed pt 6D
30 cycles1 fixed pt 9JA
41 cycle 1 fixed pt C3F8
52 cycles0 fixed pts-
64 cycles2 fixed ptsE82GB6, A9JJ9A
71 cycle 1 fixed pt FA4JE95
82 cycles0 fixed pts-
94 cycles2 fixed ptsGC83JFB74, AA9JJJ99A
104 cycles0 fixed pts-
112 cycles0 fixed pts-
122 cycles1 fixed pt AAA9JJJJ999A
131 cycle 0 fixed pts-
142 cycles3 fixed ptsIGD9750IECA632, FEA954JJEEA955, FFAA54JJEE9945
152 cycles1 fixed pt AAAA9JJJJJ9999A
165 cycles0 fixed pts-
174 cycles0 fixed pts-