If I have an composite integer called $x$, is it possible for me to calculate what the resulting number will be if I add a random integer, denoted by $n$, to all of the factors of $x$ (without factorising $x$, adding $n$ to all of the factors, and then multiplying those numbers to get the resulting number)?
For example, If $x = 30$, and $n = 2$, is it possible for me to calculate the resulting number if I add $2$ to all of the prime factors of $30$ without factorising $30$, adding $2$ to all of its prime factors $(2, 3$ and $5)$, and then multiplying them to get the resulting number $(140$ in this case as $(2+2) * (3+2) * (5+2) = 140)$?