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  • From Googology Wiki

    "945 = 33*5*7, so the sum of all divisors of 945 (including itself) is (1+3+32+33)*(1+5)*(1+7) = 40*6*8 = 1,920, while 945*2=1,890<1,920. Therefore, 945 is an abundant number. By trial and error we can check it is also smallest odd number with this property.

    December 19, 2017