Base 17: 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 1 fixed pt 5B
31 cycle 0 fixed pts-
48 cycles0 fixed pts-
51 cycle 0 fixed pts-
60 cycles1 fixed pt D91E74
73 cycles0 fixed pts-
83 cycles0 fixed pts-
92 cycles1 fixed pt EB82GD853
101 cycle 0 fixed pts-
112 cycles0 fixed pts-
121 cycle 0 fixed pts-
132 cycles0 fixed pts-
141 cycle 1 fixed pt DC9753GGCB9744
151 cycle 2 fixed ptsFDB8651GEBA8532, FDB9741GEC97532
164 cycles0 fixed pts-
176 cycles0 fixed pts-
183 cycles1 fixed pt EEBB8832GGDD885523
196 cycles0 fixed pts-
204 cycles0 fixed pts-