Base 18: Summary: All Digit Sets

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 # 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)
1180 fixed pts0 cycles0 nodes0.94 avg steps1 max steps1.94 avg steps2 max steps0 final numbers
21710 fixed pts1 cycle 9 nodes1.39 avg steps2 max steps9.54 avg steps11 max steps9 final numbers
31,1401 fixed pt 1 cycle 1 node 4.89 avg steps10 max steps5.89 avg steps11 max steps1 final number 
45,9850 fixed pts2 cycles3 nodes3.72 avg steps7 max steps6.71 avg steps10 max steps6 final numbers
526,3341 fixed pt 2 cycles2 nodes7.76 avg steps13 max steps8.77 avg steps14 max steps3 final numbers
6100,9471 fixed pt 5 cycles12 nodes10.65 avg steps30 max steps17.48 avg steps37 max steps27 final numbers
7346,1040 fixed pts1 cycle 4 nodes10.65 avg steps19 max steps14.65 avg steps23 max steps4 final numbers
81,081,5751 fixed pt 6 cycles32 nodes10.77 avg steps43 max steps32.44 avg steps75 max steps63 final numbers
93,124,5501 fixed pt 4 cycles14 nodes10.47 avg steps32 max steps22.68 avg steps44 max steps29 final numbers
108,436,2853 fixed pts9 cycles8 nodes33.78 avg steps89 max steps37.00 avg steps90 max steps29 final numbers
1121,474,1802 fixed pts4 cycles14 nodes12.68 avg steps38 max steps23.64 avg steps52 max steps20 final numbers
1251,895,9352 fixed pts19 cycles63 nodes14.90 avg steps46 max steps34.62 avg steps102 max steps137 final numbers
13119,759,8501 fixed pt 3 cycles6 nodes15.12 avg steps37 max steps21.11 avg steps43 max steps9 final numbers
14265,182,5253 fixed pts48 cycles8 nodes19.76 avg steps64 max steps23.77 avg steps68 max steps183 final numbers
15565,722,7203 fixed pts6 cycles8 nodes12.10 avg steps38 max steps18.87 avg steps46 max steps20 final numbers
161,166,803,1102 fixed pts104 cycles8 nodes18.99 avg steps66 max steps23.02 avg steps70 max steps422 final numbers
172,333,606,2202 fixed pts5 cycles8 nodes14.69 avg steps41 max steps22.22 avg steps49 max steps17 final numbers
184,537,567,6506 fixed pts242 cycles8 nodes18.16 avg steps65 max steps22.12 avg steps69 max steps950 final numbers
198,597,496,6001 fixed pt 4 cycles4 nodes21.42 avg steps49 max steps25.42 avg steps53 max steps11 final numbers