cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A223609 Numbers n whose abundance is 10. Sigma(n)-2*n = 10.

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%I A223609 #18 Sep 08 2022 08:46:04
%S A223609 40,1696,518656,34358296576
%N A223609 Numbers n whose abundance is 10. Sigma(n)-2*n = 10.
%C A223609 Suggested by _N. J. A. Sloane_ and _Robert G. Wilson v_.
%C A223609 a(5) > 10^12.
%C A223609 a(5) > 10^13. - _Giovanni Resta_, Mar 29 2013
%C A223609 a(5) > 10^18. - _Hiroaki Yamanouchi_, Aug 23 2018
%C A223609 Any term x of this sequence can be combined with any term y of A101223 to satisfy the property (sigma(x)+sigma(y))/(x+y) = 2, which is a necessary (but not sufficient) condition for two numbers to be amicable. - _Timothy L. Tiffin_, Sep 13 2016
%e A223609 n = 34358296576. sigma(n)-2*n = 10.
%t A223609 Select[Range[1, 10^8], DivisorSigma[1, #] - 2 # == 10 &]  (* _Vincenzo Librandi_, Sep 15 2016 *)
%o A223609 (PARI) for(n=1, 10^8, if(sigma(n)-2*n==10, print1(n ", ")))
%o A223609 (Magma) [n: n in [1..9*10^6] | (SumOfDivisors(n)-2*n) eq 10]; // _Vincenzo Librandi_, Sep 15 2016
%Y A223609 Cf. A000203, A033880, A101223 (deficiency 10).
%K A223609 nonn,more
%O A223609 1,1
%A A223609 _Donovan Johnson_, Mar 23 2013