New posts in Divisor Counting Function

Functions that link to divisor function

The number of pairs $(m,n)$ of coprime positive integers that divide $k$ is $d(k^2)$, where $d$ is the divisor counting function.

Why multiplying powers of prime factors of a number yields number of total divisors?

A conjecture concerning the number of divisors and the sum of divisors.

Can you give me a big number with many divisors?

Is $\ 7!=5040\ $ the largest highly composite factorial?

Have I found all the numbers less than 50,000 with exactly 11 divisors?

A $q$-continued fraction connected to the divisor function?

Product of Divisors of some $n$ proof

Calculating $\tau(n)$, the number of positive divisors of $n \in \mathbb N$