A342950 -id:A342950 - cp's OEIS frontend

A342951 a(n) is the least term in A007602 that is divisible by A342950(n).

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 112, 15, 112, 36, 315, 24, 175, 135, 112, 128, 175, 36, 672, 135, 144, 735, 216, 112, 315, 128, 144, 1575, 1296, 672, 384, 1176, 315, 216, 112, 1551375, 3276, 128, 135, 144, 735, 1296, 672, 175, 16632, 384, 1176, 216, 224, 1575, 2916

Offset: 1

David A. Corneth, Mar 30 2021

nonn

No term in A007602 is divisible by 10 and does not tend to have a lot of 0's. This is about divisibility by 7-smooth numbers that are not divisible by 10.

			a(11) = 112 as A342950(11) = 14 and the least term in A007602 that is divisible by 14 is 112.

David A. Corneth, Table of n, a(n) for n = 1..335

Cf. A007602.

A342952 a(n) is the least term in A007602 such that the product of digits equals A342950(n) or 0 if no such number exists.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 216, 7112, 135, 128, 36, 3171, 432, 0, 11111391, 12712, 1184, 175, 11111292, 1176, 111195, 624, 1171111711, 19116, 147112, 1197, 4224, 114192, 0, 113319, 672, 384, 171171112, 735, 1296, 11872, 0, 17136, 21248, 3915, 3168, 3177111, 13932, 21672

Offset: 1

David A. Corneth, Mar 30 2021

			a(10) = 216 as A342950(10) = 12 and 216 is the least number in A007602 that has product of digits 12.
a(17) = 0 as A342950(17) = 25 and the only way the product of digits of a number can be 25 is if the number has two 5's and other digits, if any, are 1. Such a number must end in 5. The tens digit can only be 1 or 5, but no possibility gives a multiple of 25.

Cf. A007602, A342950, A342951.

cp's OEIS Frontend

A342951 a(n) is the least term in A007602 that is divisible by A342950(n).

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