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A370972
Composite numbers with properties that its digits (which may appear with multiplicity) may not appear in any of its factors (wherein the digits may also appear with multiplicity) and the combined digits of the product and the factors must have at least one of each of the ten digits.
5
8596, 8790, 9360, 9380, 9870, 10752, 10764, 10854, 10968, 11760, 12780, 13608, 13860, 14760, 14780, 14820, 15628, 15678, 16038, 16704, 16920, 17082, 17280, 17340, 17640, 17820, 17920, 18090, 18096, 18690, 18720, 18960, 19068, 19084, 19240, 19440, 19460, 19608, 19740, 19780, 19800, 19980, 20457, 20574, 20748, 20754
OFFSET
1,1
COMMENTS
See A370970 for another version.
Ed Pegg Jr noted that 1476395008 is the smallest term composed of nine distinct digits. See A372106 for subsequent terms. - Hans Havermann, Apr 19 2024
REFERENCES
Ed Pegg Jr, Posting to Math-Fun Mailing List, April 2024.
EXAMPLE
996880 = 2*2*4*5*17*733: 8 and 9 appear twice each in the product. 2, 3, and 7 appear twice each in the factors. The digits in the product are distinct from the digits in the factors and, ignoring the duplicates, we have a combined 9680245173, one of each of the ten digits. - Hans Havermann, Apr 15 2024
CROSSREFS
Sequence in context: A156846 A324711 A221053 * A370970 A116326 A031809
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Apr 15 2024. Terms were computed by Hans Havermann
STATUS
approved