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!)
A070310 Numbers n such that the sum of its aliquot parts and the number of its divisors are both perfect numbers. 0

%I #18 Dec 15 2017 17:35:53

%S 28,652,10828

%N Numbers n such that the sum of its aliquot parts and the number of its divisors are both perfect numbers.

%C Subsequence of A237286. - _Roderick MacPhee_, Jan 19 2017

%t p = {6, 28, 496, 8128, 33550336}; Do[a = Divisors[n]; If[ Position[p, Plus @@ Drop[a, -1]] != {} && Position[p, Length[a]] != {}, Print[n]], {n, 1, 10^7}]

%o (PARI) {for(n=1,10^8,d=numdiv(n); if(d==sigma(d)-d,s=sigma(n)-n; if(s==sigma(s)-s,print1(n,","))))}

%Y Cf. A000396, A001065, A000005.

%K more,nonn,bref

%O 1,1

%A _Jason Earls_, May 10 2002

%E Edited by _Robert G. Wilson v_, May 14 2002

%E No further terms below 10^8. Is the sequence complete? - _Klaus Brockhaus_, May 17 2002

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 8 21:00 EDT 2024. Contains 373227 sequences. (Running on oeis4.)