Question 24
How many positive integers $n$ less than 2007 can we find such that
$$\left[\frac n2\right]+\left[\frac n3\right]+\left[\frac n6\right]=n,$$
where $[x]$ is the greatest integer less than or equal to $x$?
(For example, $[2.5]=2$; $[5]=5$; $[-2.5]=-3$ etc.)
$$\left[\frac n2\right]+\left[\frac n3\right]+\left[\frac n6\right]=n,$$
where $[x]$ is the greatest integer less than or equal to $x$?
(For example, $[2.5]=2$; $[5]=5$; $[-2.5]=-3$ etc.)