DK-GEORGMOHR 2017 Problem 2

Georg has a board displaying the numbers from $1$ to $50$ . Georg may strike out a number if it can be formed by starting with the number $2$ and doing one or more calculations where he either multiplies by $10$ or subtracts $3$ . Which of the board's numbers may Georg strike out? Example: Georg may strike out $26$ because it may, for example, be formed by starting with $2$ , multiplying by $10$ , subtracting $3$ three times, multiplying by $10$ and subtracting $3$ twenty-eight times.