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The number of divisors of a number whose sum of divisors is a perfect square
number-theory
divisor-sum
divisor-counting-function
Arithmetical Functions Sum, $\sum\limits_{d|n}\sigma(d)\phi(\frac{n}{d})$ and $\sum\limits_{d|n}\tau(d)\phi(\frac{n}{d})$
elementary-number-theory
analytic-number-theory
totient-function
arithmetic-functions
divisor-counting-function
Method for Counting the Divisors of a number
combinatorics
elementary-number-theory
divisor-counting-function
Euler's totient and divisors count function relationship when $[(\frac{\varphi(n)}{2}+1)\cdot(\frac{\tau(n)}{2}+1)] = n$
elementary-number-theory
totient-function
conjectures
multiplicative-function
divisor-counting-function
For any positive integer $n$, show that $\sum_{d|n}\sigma(d) = \sum_{d|n}(n/d)\tau(d)$
elementary-number-theory
summation
divisor-sum
multiplicative-function
divisor-counting-function
Why multiplying powers of prime factors of a number yields number of total divisors?
elementary-number-theory
prime-numbers
divisor-counting-function
Is $\ 7!=5040\ $ the largest highly composite factorial?
number-theory
factorial
divisor-counting-function
Smallest number with specific number of divisors
elementary-number-theory
divisor-counting-function
Have I found all the numbers less than 50,000 with exactly 11 divisors?
combinatorics
elementary-number-theory
factoring
divisor-counting-function
Numbers having in decimal representation no common digits with all their proper divisors
number-theory
decimal-expansion
divisor-counting-function
How to prove $ \prod_{d|n} d= n^{\frac{\tau (n)}{2}}$
elementary-number-theory
arithmetic-functions
divisor-counting-function
Product of Divisors of some $n$ proof
elementary-number-theory
divisor-counting-function
A number is a perfect square if and only if it has odd number of positive divisors
elementary-number-theory
discrete-mathematics
prime-numbers
square-numbers
divisor-counting-function
Prove that $d(n)\leq 2\sqrt{n}$
elementary-number-theory
inequality
divisor-counting-function
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