login
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
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
EXAMPLE
7776^5 = 28430288029929701376 ; 2843+0288+0299+2970+1376 = 7776. 27100^5 = 14616603103510000000000 ; 146+16603+10351+00000+00000 = 27100.
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Robert Munafo, Dec 10 2009
EXTENSIONS
More terms from Robert Gerbicz, Jul 28 2011
STATUS
approved