27 is related to 3 following a certain logic. Following the same logic, 343 is related to 7. To which of the following is 1331 related following the same logic?

(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 

1
13
2
9
3
11
4
17

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