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Listing all possible digit:

_   _   _   _
2   3   5   6
3   5   3
5
7

First digit is a even prime number, so 3, 5 and 7 is out.
Second and third is a product of 15 and sum of 8, so only 3 and 5 or 5 and 3,
but the last digit is double the third digit, so the last digit should be 9 and third digit is 3.

The password is 2536.

Hope this answers your question.

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