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

1,2

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: A200993 A365704 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