Base 70: Summary: Even Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ

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 # Start Numbers # Fixed Points
(excluding zero)
# Cycles
(including fixed)
(excluding zero)
Full Cycle
Max Length
Avg Steps
including
Cycle Start
Max Steps
including
Cycle Start
Avg Steps
including
Full Cycle
Max Steps
including
Full Cycle
# Final Numbers
(excluding zero)
22,4850 fixed pts1 cycle 35 nodes1.47 avg steps2 max steps35.51 avg steps37 max steps35 final numbers
41,088,4301 fixed pt 14 cycles12 nodes2.93 avg steps7 max steps14.17 avg steps19 max steps136 final numbers
6201,359,5502 fixed pts6 cycles114 nodes69.74 avg steps277 max steps147.03 avg steps331 max steps271 final numbers
821,042,072,9751 fixed pt 4 cycles540 nodes224.76 avg steps777 max steps738.30 avg steps1,317 max steps563 final numbers