|
|
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
|
|
|
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
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|