Number Theory #2

\(N\) is a positive integer that satisfies the following:

\(1\)) \(a < b < c\) where \(a,b,c\) are positive integers,

\(2\)) \(a|b\), \(b|c\),

\(3\)) \(N=a+b+c\).

Find the sum of all possible values of \(N\) that cannot satisfy the above conditions.

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