3 is a factor of 24 that is an odd number bigger than 1
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A square number has an odd number of factors, but a number with an odd number of factor pairs is nothing special.
Oh, dude, the smallest odd number greater than 8793 is 8795. It's like, just two more than 8793, but it's still odd, you know? So, if you're looking for the tiniest odd number that's bigger than 8793, that's your guy.
2 cannot be a factor of an odd number, 2 must be a factor of an even number.