Does there exist an integer $m$ which is not in the image of $D(n)=2n - \sigma(n)$?

Question

Let $\sigma(n)$ be the sum of the divisors of the positive integer $n$, and denote the deficiency of $n$ by $D(n)=2n-\sigma(n)$.

Here is my question:

Do there exist numbers $m$ which (provably) do not have any pre-images under $m=D(n)=2n-\sigma(n)$?

I am currently unable to come up with a specific example.