OFFSET
1,1
COMMENTS
Tested up to n = 10^6.
EXAMPLE
Anti-divisors of 92 are 3, 5, 8, 37, 61. Their sum is 114.
Again, anti-divisors of 114 are 4, 12, 76. Their sum is 92 and 92 / 92 = 1.
MAPLE
with(numtheory); P:=proc(q, h) local a, i, j, k, n;
for n from 3 to q do a:=n; for i from 1 to h do
k:=0; j:=a; while j mod 2 <> 1 do k:=k+1; j:=j/2; od;
a:=sigma(2*a+1)+sigma(2*a-1)+sigma(a/2^k)*2^(k+1)-6*a-2; od;
if type(a/n, integer) then print(n); fi; od; end: P(10^6, 2);
CROSSREFS
KEYWORD
nonn
AUTHOR
Paolo P. Lava, Oct 01 2013
EXTENSIONS
Offset corrected and a(34)-a(42) from Donovan Johnson, Jan 09 2014
STATUS
approved