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.

A329104 Numbers m such that sigma(m) - tau(m) = 2m.

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%I A329104 #18 Aug 28 2024 14:58:28
%S A329104 56,7192,7232,7912,10792,17272,30592,114256,2154584,3428368,89245784
%N A329104 Numbers m such that sigma(m) - tau(m) = 2m.
%C A329104 Abundant numbers m with abundance A(m) = tau(m).
%C A329104 Corresponding values of A(m) = tau(m): 8, 16, 14, 16, 16, 16, 16, 20, 32, 30, 32, ...
%C A329104 a(12) > 10^13, if it exists. - _Giovanni Resta_, Nov 07 2019
%e A329104 Number 56 is in the sequence because sigma(56) - tau(56) = 2*56; 120 - 8 = 112.
%t A329104 Select[Range[4*10^6], DivisorSigma[1, #] - DivisorSigma[0, #] == 2 # &] (* _Amiram Eldar_, Nov 04 2019 *)
%o A329104 (Magma) [m: m in [1..10^5] | SumOfDivisors(m) - NumberOfDivisors(m) eq 2*m];
%o A329104 (PARI) isok(m) = my(f=factor(m)); sigma(f) - numdiv(f) == 2*m; \\ _Michel Marcus_, Nov 05 2019
%Y A329104 Cf. A000005, A000203, A033880, A065608.
%Y A329104 Cf. A083874 (deficient numbers m with deficiency D(m) = tau(m)).
%K A329104 nonn,more
%O A329104 1,1
%A A329104 _Jaroslav Krizek_, Nov 04 2019
%E A329104 a(11) from _Amiram Eldar_, Nov 04 2019