Category:Numbers such that Divisor Count divides Phi divides Divisor Sum

This category contains pages concerning Numbers such that Divisor Count divides Phi divides Divisor Sum:

The sequence of integers $n$ with the property that:

$\map {\sigma_0} n \divides \map \phi n \divides \map {\sigma_1} n$

where:

$\divides$ denotes divisibility

$\sigma_0$ denotes the divisor count of $n$

$\phi$ denotes the Euler $\phi$ (phi) function: the count of smaller integers coprime to $n$

$\sigma_1$ denotes the divisor sum of $n$

begins:

$1, 3, 15, 30, 35, 56, 70, 78, 105, 140, 168, 190, 210, 248, 264, \ldots$