A171493 -id:A171493 - cp's OEIS frontend

A171500 "Kaprekar quintuples": digits of X^5 taken D at a time sum to X (where D is number of digits in X.)

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

Offset: 1

Robert Munafo, Dec 10 2009

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.

			7776^5 = 28430288029929701376 ; 2843+0288+0299+2970+1376 = 7776.
27100^5 = 14616603103510000000000 ; 146+16603+10351+00000+00000 = 27100.

Robert Gerbicz, Table of n, a(n) for n = 1..26397
Robert Munafo, Kaprekar Sequences

Cf. A006886, A006887, A045913, A053816, A171493.

More terms from Robert Gerbicz, Jul 28 2011

cp's OEIS Frontend

A171500 "Kaprekar quintuples": digits of X^5 taken D at a time sum to X (where D is number of digits in X.)

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