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A273260 List of base-ten k-balanced factorization integers: The combined digits of an integer and its factorization primes and exponents contain exactly k copies of each of the ten digits, for some k.

%I A273260 #26 Aug 03 2017 20:22:23
%S A273260 26487,28651,61054,65821,45849660,84568740,104086845,106978404,
%T A273260 107569740,107804658,108489045,118678440,130445658,130567806,
%U A273260 135807860,137678445,140679804,140884695,143450660,143976180,146859800,148478520,149528648,150468056,150568824
%N A273260 List of base-ten k-balanced factorization integers: The combined digits of an integer and its factorization primes and exponents contain exactly k copies of each of the ten digits, for some k.
%C A273260 The b-file includes the smallest 74 k=3 integers but is still missing the largest 3 k=2 integers, which are 3392164558027, 8789650571264, and 9418623046875. - _Hans Havermann_, Jan 20 2017
%H A273260 Hans Havermann, <a href="/A273260/b273260.txt">Table of n, a(n) for n = 1..13100</a>
%H A273260 Hans Havermann, <a href="http://gladhoboexpress.blogspot.ca/2016/08/a-factorization-balancing-act.html">A factorization balancing act</a>
%e A273260 There are exactly four terms with k=1, namely the first four terms on the list: 26487 = 3^5*109, 28651 = 7*4093, 61054 = 2*7^3*89, and 65821 = 7*9403. In each of these, the digits of the number and the digits on the right-hand side of the equals sign together consist exactly of the digits 0 through 9.
%e A273260 8789650571264 is in the sequence because its digits combined with the digits of 2^31*4093 contain exactly two of every base ten digit.
%Y A273260 Cf. A057885, A124668, A195814.
%K A273260 nonn,base
%O A273260 1,1
%A A273260 _Hans Havermann_, Aug 28 2016