Question 7
Anton writes down, in order, all positive integers that are divisible by $2$. Berta writes down, in order, all positive integers that are divisible by $3$. Clara writes down, in order, all positive integers that are divisible by $4$. Orderly Dora notes down the numbers written by the others. In doing so, she orders the numbers by size and does not write any number more than once. What is the $2017$th number in her list?
(Richard Henner)
(Richard Henner)