A371993 The smallest number k that has a factorization k = f1*f2*...*fr where the digits of {k, f1, f2, ..., fr} together contain all, and only, the digits 0..n, where n<=9.

100, 20, 120, 102, 120, 240, 1260, 1680, 8598

Offset: 1

Author

Scott R. Shannon, Apr 15 2024

Keywords

• nonn
• base
• fini
• full

Examples

			The factorizations are:
a(1) = 100 = [10, 10]
a(2) = 20 = [2, 10]
a(3) = 120 = [2, 2, 3, 10]
a(4) = 102 = [3, 34]
a(5) = 120 = [2, 3, 4, 5]
a(6) = 240 = [3, 5, 16]
a(7) = 1260 = [3, 3, 4, 5, 7]
a(8) = 1680 = [2, 2, 3, 4, 5, 7]
a(9) = 8596 = [2, 14, 307]
		

Crossrefs

Cf. A371958, A370970, A370972.