
Here we will explain and calculate if 9800 is an abundant number and its abundance if applicable.
9800 is an abundant number if the sum of its proper divisors is greater than 9800.
The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 49 + 50 + 56 + 70 + 98 + 100 + 140 + 175 + 196 + 200 + 245 + 280 + 350 + 392 + 490 + 700 + 980 + 1225 + 1400 + 1960 + 2450 + 4900 = 16705.
16705 is greater than 9800. Therefore, 9800 is an abundant number.
The abundance of 9800 is the sum of its proper divisors minus 9800. Thus, the abundance of 9800 is 16705 - 9800 = 6905
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