A332736 Numbers k such that the sum of the norm of divisors of k in Gaussian integers is divisible by k.

1, 14, 15, 30, 60, 70, 120, 210, 315, 350, 630, 1260, 1612, 1680, 1860, 2520, 4095, 4588, 5080, 5250, 5535, 8190, 10850, 11070, 11284, 15240, 16380, 17520, 22140, 24180, 32760, 34125, 38745, 39060, 40880, 42000, 42720, 43216, 44280, 45720, 54243, 56420, 59644

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..2500

Example

14 is a term since A317797(14) = 350 is divisible by 14.

Mathematica

Select[Range[10000], Divisible[Plus @@ (Abs[Divisors[#, GaussianIntegers -> True]]^2), #] &]

Crossrefs

Cf. A046762, A317797.

Sequence in context: A344977 A216679 A216680 * A162283 A180328 A211144

Adjacent sequences: A332733 A332734 A332735 * A332737 A332738 A332739

Keyword

nonn

Author

Amiram Eldar, Feb 21 2020

Status

approved