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

Author

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

Keywords

• nonn
• base

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

Examples

			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
		

References

• Ed Pegg Jr, Posting to Math-Fun Mailing List, April 2024.

Links

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

Crossrefs

Cf. A370970, A372106.