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20200211, 03:12  #1 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
110000101011_{2} Posts 
Find Kaprekar's constants and cycles of the Kaprekar mapping of 9digit to 12digit numbe in base 12
Can someone find all the 9digit to 12digit cycles of the Kaprekar mapping in base 12? I cannot find them, since the range is too large, can someone help me? I only have data for base 10 and base 16 to 20 digits, but no base 12, and I myself searched base 12 to 8 digits and find the cycles:
Code:
Digit length Cycles Cycle lengths Number of cycles 1 {0} 1 1 2 {00}, {0E, X1, 83, 47, 29, 65} 1, 6 2 3 {000}, {5E6} 1, 1 2 4 {0000}, {3EE8, 8284, 6376}, {4198, 8374, 5287, 6196, 7EE4, 7375} 1, 3, 6 3 5 {00000}, {64E66, 6EEE5}, {83E74} 1, 2, 1 3 6 {000000}, {420X98, X73742, 842874, 642876, 62EE86, 951963, 860X54, X40X72, X82832, 864654}, {65EE56} 1, X, 1 3 7 {0000000}, {841E974, X53E762, 971E943, X64E652, 960EX53, E73E741, X82E832, 984E633, 863E754}, {962E853} 1, 9, 1 3 8 {00000000}, {4210XX98, X9737422, 87428744, 64328876, 652EE866, 961EE953, X8428732, 86528654, 6410XX76, X92EE822, 9980X323, X7646542, 8320X984, X7537642, 8430X874, X5428762, 8630X854, X540X762, X830X832, X8546632, 8520X964, X740X742, X8328832, 86546654}, {873EE744}, {X850X632} 1, 20, 1, 1 4 
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