For positive integer $n$ such that $n < 10{,}000$, the number $n+2005$ has exactly 21 positive factors. What is the sum of all the possible values of $n$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For positive integer $n$ such that $n < 10{,}000$, the number $n+2005$ has exactly 21 positive factors. What is the sum of all the possible values of $n$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
16592
For positive integer $n$ such that $n < 10{,}000$, the number $n+2005$ has exactly 21 positive factors. What is the sum of all the possible values of $n$?
train