OBM 2022 Problem 4

Initially, a natural number $n$ is written on the blackboard. Then, at each minute, Neymar chooses a divisor $d>1$ of $n$ , erases $n$ , and writes $n+d$ . If the initial number on the board is $2022$ , what is the largest composite number that Neymar will never be able to write on the blackboard?