MathDB

d(n) divides n

Source: Baltic Way 1992 #2

February 17, 2009

number theory proposednumber theory

Problem Statement

Denote by

d(n)

the number of all positive divisors of a natural number

n

(including

1

and

n

). Prove that there are infinitely many

n

, such that

n/d(n)

is an integer.