The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A333426 Primorial base Niven numbers: numbers divisible by their sum of digits in primorial base (A276150). 22

%I #12 Mar 21 2020 07:12:57

%S 1,2,4,6,8,9,12,16,18,20,24,25,30,32,33,36,40,42,44,45,48,50,60,64,65,

%T 66,68,70,72,77,84,88,90,92,96,105,108,112,117,120,132,133,136,144,

%U 150,154,156,160,168,180,182,184,189,192,198,200,210,212,213,216,220

%N Primorial base Niven numbers: numbers divisible by their sum of digits in primorial base (A276150).

%H Amiram Eldar, <a href="/A333426/b333426.txt">Table of n, a(n) for n = 1..10000</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Mixed_radix#Primorial_number_system">Primorial number system</a>.

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>.

%e 1 is a term since A276150(1) = 1 divides 1;

%e 2 is a term since A276150(2) = 1 divides 2;

%t max = 5; bases = Prime @ Range[max, 1, -1]; nmax = Times @@ bases - 1; sumdig[n_] := Plus @@ IntegerDigits[n, MixedRadix[bases]]; Select[Range[nmax], Divisible[#, sumdig[#]] &]

%Y Cf. A005349, A049345, A049445, A064150, A064438, A064481, A118363, A235168, A276150, A328208, A328212.

%K nonn

%O 1,2

%A _Amiram Eldar_, Mar 20 2020

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 June 7 12:16 EDT 2024. Contains 373173 sequences. (Running on oeis4.)