Very cutely abundant numbers

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 6+4+3+2+1=16 > 12 .

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

Submit your answer as M + 1 M+1 .


The answer is 946.

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