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.
26487, 28651, 61054, 65821, 45849660, 84568740, 104086845, 106978404, 107569740, 107804658, 108489045, 118678440, 130445658, 130567806, 135807860, 137678445, 140679804, 140884695, 143450660, 143976180, 146859800, 148478520, 149528648, 150468056, 150568824
Offset: 1
Examples
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. 8789650571264 is in the sequence because its digits combined with the digits of 2^31*4093 contain exactly two of every base ten digit.
Links
- Hans Havermann, Table of n, a(n) for n = 1..13100
- Hans Havermann, A factorization balancing act
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