Question 3
For a real number $r$ denote by $[r]$ the greatest integer less than or equal to $r$. How many positive integers $n$ are there for which
$$
\lfloor \frac{1000000}{n} \rfloor - \lfloor \frac{1000000}{n+1} \rfloor = 1
$$
is satisfied?
$$
\lfloor \frac{1000000}{n} \rfloor - \lfloor \frac{1000000}{n+1} \rfloor = 1
$$
is satisfied?