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A290592
Numbers x such that x = Sum_{j=1..k} d(j*x), for some k, where d(x) is the number of divisors of x.
1
1, 2, 9, 10, 26, 34, 46, 76, 121, 128, 136, 140, 174, 194, 226, 230, 232, 240, 268, 278, 296, 325, 362, 370, 432, 434, 438, 575, 598, 610, 620, 637, 694, 708, 718, 734, 735, 756, 796, 808, 842, 854, 860, 866, 898, 922, 925, 986, 1048, 1050, 1072, 1168, 1196, 1228
OFFSET
1,2
COMMENTS
Values of k for the listed items are 1, 1, 2, 2, 4, 5, 6, 7, 14, 9, 9, 7, 11, 19, 21, 13, 14, 8, 19, 25, 17, 18, 31, 19, 13, 21, 23, 29, 27, 28, 22, 31, 53, 26, 54, 55, 23, 17, 45, 38, 62, 36, 29, 63, 65, 66, 42, 40, 47, 21, 41, 44, 36, 65.
All squarefree terms > 1 are even. - Robert Israel, Aug 07 2017
LINKS
EXAMPLE
For 34 we have that d(34) + d(2*34) + d(3*34) + d(4*34) + d(5*34) = 4 + 6 + 8 + 8 + 8 = 34.
MAPLE
with(numtheory): P:=proc(n) local a, k; a:=0; k:=0; while a<n do k:=k+1;
a:=a+tau(k*n); od; if a=n then n; fi; end: seq(P(i), i=1..2000);
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Paolo P. Lava, Aug 07 2017
STATUS
approved