A271239 Numbers n such that n is divisible by the median of its digits.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 20, 21, 22, 24, 27, 30, 33, 36, 40, 42, 44, 45, 48, 50, 51, 54, 55, 60, 63, 66, 70, 72, 77, 80, 81, 84, 88, 90, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119

Offset

1,2

Comments

The first cases that are prime numbers :

a(2)=2;

a(3)=3;

a(5)=5;

a(7)=7;

a(11)=11;

a(44)=101;

a(46)=103;

a(50)=107.

The first difference from A180477 is that n = 100 is in that sequence but not here.

Links

Indranil Ghosh, Table of n, a(n) for n = 1..10000

Example

72 is a member because the median of its digits (7, 2) is 9/2 and 72 is divisible by 9/2 (i.e., the ratio 72/(9/2) is an integer).

Mathematica

Select[Range[500], Quiet@ Divisible[#, Median@ IntegerDigits@ #] &] (* Giovanni Resta, Apr 08 2016 *)

Crossrefs

Cf. A061384, A180477.

Sequence in context: A342164 A263808 A180477 * A083970 A246088 A071204

Adjacent sequences: A271236 A271237 A271238 * A271240 A271241 A271242

Keyword

nonn,base,easy

Author

José de Jesús Camacho Medina, Apr 02 2016

Status

approved