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 A171500 "Kaprekar quintuples": digits of X^5 taken D at a time sum to X (where D is number of digits in X.) 1
 1, 10, 1000, 7776, 27100, 73440, 95120, 500499, 505791, 540539, 598697, 665335, 697598, 732347, 7607610, 37944478, 46945205, 54995500, 55216205, 56607166, 58106906, 63136413, 66595563, 68167738, 68807564, 69188525, 70667477, 72197730, 73197730, 74145807 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Referred to as "natural" Kaprekar numbers on Munafo webpage because A[n] and the 5 pieces of A[n}^5 must all have the same number of digits (some of which can be leading zeros). Analogous to A053816 for squares, as opposed to A006886 and A045913 which allow irregular divisions. LINKS Robert Gerbicz, Table of n, a(n) for n = 1..26397 R. Munafo, Kaprekar Sequences EXAMPLE 7776^5 = 28430288029929701376 ; 2843+0288+0299+2970+1376 = 7776. 27100^5 = 14616603103510000000000 ; 146+16603+10351+00000+00000 = 27100. CROSSREFS Cf. A006886, A006887, A045913, A053816, A171493 Sequence in context: A168520 A200993 A062033 * A154027 A013715 A135612 Adjacent sequences:  A171497 A171498 A171499 * A171501 A171502 A171503 KEYWORD base,nonn AUTHOR Robert Munafo, Dec 10 2009 EXTENSIONS More terms from Robert Gerbicz, Jul 28 2011 STATUS approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)