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!)
A062670 Composite and every divisor (except 1) contains the digit 4. 18

%I #15 Jun 20 2023 14:50:18

%S 1849,6407,14227,14309,14921,16403,16441,17243,18409,18847,19049,

%T 19147,20459,20941,21457,21479,21949,22427,23453,25427,27649,30409,

%U 30463,31949,34921,40463,40721,43009,44227,44509,45107,49303,58343,59491

%N Composite and every divisor (except 1) contains the digit 4.

%H Amiram Eldar, <a href="/A062670/b062670.txt">Table of n, a(n) for n = 1..10000</a>

%e 1849 has divisors 1, 43 and 1849, all of which contain the digit 4.

%t fQ[n_, dgt_] := Union[ MemberQ[#, dgt] & /@ IntegerDigits@ Rest@ Divisors@ n][[1]]; Select[ Range[2, 59500], !PrimeQ[#] && fQ[#, 4] &] (* _Robert G. Wilson v_, Jun 11 2014 *)

%t d4Q[n_]:=CompositeQ[n]&&AllTrue[Rest[Divisors[n]],DigitCount[#,10,4]>0&]; Select[Range[ 60000],d4Q] (* _Harvey P. Dale_, Jun 20 2023 *)

%Y Cf. A062653, A062664, A062667, A062668, A062669, A062671, A062672, A062673, A062674, A062675, A062676, A062677, A062678, A062679, A062680.

%K base,easy,nonn

%O 1,1

%A _Erich Friedman_, Jul 04 2001

%E Offset corrected by _Amiram Eldar_, Nov 07 2019

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 April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)