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.

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.

Links

Table of n, a(n) for n=1..46.

Hans Havermann, Table of a(n) and corresponding factorization(s) for all terms <= 100000.

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

Cf. A370970, A372106.

Sequence in context: A156846 A324711 A221053 * A370970 A116326 A031809

Adjacent sequences: A370969 A370970 A370971 * A370973 A370974 A370975

Keyword

nonn,base

Author

N. J. A. Sloane, Apr 15 2024. Terms were computed by Hans Havermann

Status

approved