

A248150


Numbers whose sum of divisors (A000203) is divisible by 4.


8



3, 6, 7, 11, 12, 14, 15, 19, 21, 22, 23, 24, 27, 28, 30, 31, 33, 35, 38, 39, 42, 43, 44, 46, 47, 48, 51, 54, 55, 56, 57, 59, 60, 62, 63, 65, 66, 67, 69, 70, 71, 75, 76, 77, 78, 79, 83, 84, 85, 86, 87, 88, 91, 92, 93, 94, 95, 96, 99, 102, 103, 105, 107, 108, 110, 111, 112, 114, 115, 118
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OFFSET

1,1


COMMENTS

A subsequence of A028983 (even sum of divisors) which contains all numbers but the squares and twice the squares, so no term of this sequence is of that form, either.
Any number having at least two odd prime factors to an odd power is in this sequence, therefore it has asymptotic density 1.  M. F. Hasler, Apr 26 2017


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000


FORMULA

a(n) ~ n.  Charles R Greathouse IV, Sep 01 2015


MATHEMATICA

Select[Range[200], Divisible[DivisorSigma[1, #], 4]&] (* Harvey P. Dale, Feb 20 2015 *)


PROG

(PARI) for(n=1, 999, sigma(n)%4print1(n", "))


CROSSREFS

Cf. A000203, A028982, A028983, A248151.
Sequence in context: A136272 A101184 A087643 * A022544 A194366 A091067
Adjacent sequences: A248147 A248148 A248149 * A248151 A248152 A248153


KEYWORD

nonn


AUTHOR

M. F. Hasler, Oct 02 2014


STATUS

approved



