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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. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Hans Havermann, Table of n, a(n) for n = 1..13100

Hans Havermann, A factorization balancing act

EXAMPLE

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.

CROSSREFS

Cf. A057885, A124668, A195814.

Sequence in context: A292701 A275417 A206539 * A015303 A236622 A229592

Adjacent sequences:  A273257 A273258 A273259 * A273261 A273262 A273263

KEYWORD

nonn,base

AUTHOR

Hans Havermann, Aug 28 2016

STATUS

approved

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Last modified September 26 05:09 EDT 2017. Contains 292502 sequences.