A291209 Numbers n such that psi(n) is the sum of proper divisors of n where psi(n) = A001615(n).

9504, 16560, 41400, 5048568, 10889856, 11941344, 16255080, 131473152, 5517818880, 107561120688, 612014161920

Offset: 1

Author

Altug Alkan, Aug 21 2017

Keywords

• nonn
• more

Comments

Or numbers n such that sigma(n) = psi(n) + n where psi(n) = A001615(n) and sigma(n) = A000203(n).

9504 = 2^5*3^3*11 is the smallest number with this property.

Examples

			16560 is a term because sigma(16560) = 58032 and psi(16560) = 41472; sigma(16560) - psi(16560) = 16560.
		

Crossrefs

Cf. A000203, A001065, A001615.

Programs

PARI

a001615(n) = n*sumdivmult(n, d, issquarefree(d)/d);
isok(n) = sigma(n)==a001615(n)+n; \\ after Charles R Greathouse IV at A001615

Extensions

a(9)-a(11) from Giovanni Resta, Aug 21 2017