Thread: number theoretic functions

For any integer n greater than or equal to 1 prove the inequality
τ(n) less than or equal to 2sqrt(n)

The function is tau(n) less than or equal to 2sqrt(n)

What is the function? Give enough information when you post a question.

I suppose you mean the number of divisors function.

Note that for each divisor (of ) is a divisor as well.

And at least one of the following inequalities holds or .