login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A346657 Numbers that are not divisible by the product of their nonzero digits. 0
13, 14, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..65.

EXAMPLE

The product of the nonzero digits of 42 is 4*2 = 8, which does not divide 42.

MATHEMATICA

Select[Range[100], !Divisible[#, Times @@ Select[IntegerDigits[#], #1 > 0 &]] &] (* Amiram Eldar, Jul 27 2021 *)

PROG

(Python)

from math import prod

def ok(n): return n > 0 and n%prod([int(d) for d in str(n) if d != '0'])

print(list(filter(ok, range(88)))) # Michael S. Branicky, Jul 27 2021

(PARI) isok(k) = k % vecprod(select(x->(x>0), digits(k))); \\ Michel Marcus, Jul 28 2021

CROSSREFS

Complement of A055471.

Sequence in context: A108854 A106007 A048037 * A171492 A054031 A060275

Adjacent sequences: A346654 A346655 A346656 * A346658 A346659 A346660

KEYWORD

nonn,easy,base

AUTHOR

Michael Gohn, Joshua Harrington, Sophia Lebiere, Hani Samamah, Kyla Shappell, Wing Hong Tony Wong, Jul 27 2021

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 5 03:48 EST 2023. Contains 360082 sequences. (Running on oeis4.)