A050622 Numbers m that are divisible by 2^k, where k is the digit length of m.

2, 4, 6, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360

Offset: 1

Author

Patrick De Geest, Jun 15 1999

Keywords

• nonn
• base
• easy

Comments

The number of terms of length k is equal to (9*5^(k-1) - 1)/2. - Bernard Schott, Apr 06 2020

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A035014, A050621, A055642.

Programs

Maple

seq(seq(j*2^k, j=(5^(k-1)+1)/2 .. 5^k-1),k=1..3); # Robert Israel, Apr 05 2020

Mathematica

Select[Range[360], IntegerQ[#/2^IntegerLength[#]] &] (* Jayanta Basu, May 25 2013 *)

PARI

isok(n) = n % (2^#Str(n)) == 0; \\ Michel Marcus, Sep 17 2015