Suppose you are $30$ years old and would like to retire at age $60.$ Furthermore, you would like to have a retirement fund from which you can draw $$75,000$ per year$-$forever! How much would you need to deposit each month to do this? Assume a constant APR of $6\%$ and that the compounding and payment periods are the same

To draw $$75,000$ per year, there must be $ in your savings account when you retire

$($Do not round until the final answer. Then round to the nearest integer as needed.$)$