Wayward times

Number Theory Level 4

Let \(S\) be the set of positive integers, that cannot be written as a sum of at least 2 consecutive positive integers.

For example 10 can be written as: \(10 = 1+2+3+4\).

1 cannot be expressed in such a way and thus is in the \(S\).

Now build the multiplicative inverse of all the members of \(S\), add them all up and then type the result in your answer field.


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