document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209472>Question 1209472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the proper divisors of 1 825 346. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848906 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=848906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "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><BR>\n" );
document.write( "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><BR>\n" );
document.write( "The sum of all the divisors of the number (2)(97^3) is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B2%29%281%2B97%2B97%5E2%2B97%5E3%29=2766540 ALIGN=MIDDLE  ALT=\"%281%2B2%29%281%2B97%2B97%5E2%2B97%5E3%29=2766540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then the sum of the proper divisors is 2766540-1825346 = 941194.<br><BR>\n" );
document.write( "ANSWER: 941194<br><BR>\n" );
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document.write( "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><BR>\n" );
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