8. Midterm 1 and Arithmetic Functions

Divisor Sums — Quiz

Test your understanding of divisor sums with 5 practice questions.

Practice Questions

Question 1

What is the value of the divisor sum function $\sigma(6)$, which equals the sum of all positive divisors of $6$?

Question 2

What is the sum of the proper divisors of $10$?

Question 3

If $p$ is a prime number, what is $\sigma(p)$?

Question 4

What is $\sigma(12)$?

Question 5

Which number is perfect because the sum of its proper divisors equals the number itself?