Question 1209472
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After finding that the prime number decomposition of the given number is 2(97^3), you can find the sum of the proper divisors by listing them and adding, as the other tutor did.<br>
Alternatively, you can find the answer by using a process that finds the sum of ALL the divisors and subtract the given number from that sum to find the sum of the proper divisors.<br>
The sum of all the divisors of the number (2)(97^3) is<br>
{{{(1+2)(1+97+97^2+97^3)=2766540}}}<br>
Then the sum of the proper divisors is 2766540-1825346 = 941194.<br>
ANSWER: 941194<br>
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Note the other tutor does not consider 1 to be a proper divisor, so her answer is 941193.  I believe 1 is considered to be a proper divisor of any integer....<br>