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A077646
Solutions to lcm(n, tau(n)) = 2n which are neither prime nor twice a prime, where tau(k) = d(k) is the number of divisors of k.
2
45, 63, 75, 90, 99, 117, 120, 126, 147, 150, 153, 168, 171, 198, 207, 216, 234, 243, 261, 264, 279, 280, 294, 306, 312, 333, 342, 363, 369, 387, 405, 408, 414, 420, 423, 440, 456, 477, 486, 507, 520, 522, 531, 540, 549, 552, 558, 603, 616, 639, 657, 660
OFFSET
1,1
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
FORMULA
Composite solutions to A009530(x)=2x which are not twice a prime.
EXAMPLE
n=63: d(n) = tau(n) = 6, lcm(63,6) = 126 = 2n.
PROG
(PARI) is(n)=!isprime(if(n%2, n, n/2)) && lcm(n, numdiv(n))==2*n \\ Charles R Greathouse IV, Oct 28 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Nov 18 2002
STATUS
approved