Very cutely abundant numbers

Computer Science Level pending

A number is called a very cutely abundant number if the sum of all its proper divisors is greater than the number itself.

For example, 12 is a very cutely abundant number as the sum of all it's divisors is greater than 12, namely \(6+4+3+2+1=16 > 12\).

Find the smallest odd very cutely abundant number, call it \(M\).

Submit your answer as \(M+1\).


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