document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151254>Question 1151254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the proper divisors of 141158161.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772946 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Find the sum of the proper divisors of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=141158161 ALIGN=MIDDLE  ALT=\"141158161\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=141158161 ALIGN=MIDDLE  ALT=\"141158161\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an odd <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=composite ALIGN=MIDDLE  ALT=\"composite\"   DISABLED_style= \"max-width:90%; height:auto;\" > number. It is composed of one distinct <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=prime ALIGN=MIDDLE  ALT=\"prime\"   DISABLED_style= \"max-width:90%; height:auto;\" > number multiplied by itself three times. <BR>\n" );
document.write( "It has a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=five+ ALIGN=MIDDLE  ALT=\"five+\"   DISABLED_style= \"max-width:90%; height:auto;\" >divisors.\r<BR>\n" );
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document.write( "Prime factorization of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=141158161 ALIGN=MIDDLE  ALT=\"141158161\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A109+%2A+109+%2A+109+%2A+109=109%5E4 ALIGN=MIDDLE  ALT=\"1%2A109+%2A+109+%2A+109+%2A+109=109%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Number of divisors : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " list of divisors: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=109 ALIGN=MIDDLE  ALT=\"109\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11881 ALIGN=MIDDLE  ALT=\"11881\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1295029 ALIGN=MIDDLE  ALT=\"1295029\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=141158161 ALIGN=MIDDLE  ALT=\"141158161\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Sum of all divisors: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=142465181 ALIGN=MIDDLE  ALT=\"142465181\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Sum of proper divisors: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B109%2B1188%2B1295029=+1307020 ALIGN=MIDDLE  ALT=\"1%2B109%2B1188%2B1295029=+1307020\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=141158161 ALIGN=MIDDLE  ALT=\"141158161\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a deficient number, because the sum of its proper divisors (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1307020 ALIGN=MIDDLE  ALT=\"1307020\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is less than itself. Its deficiency is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=139851141 ALIGN=MIDDLE  ALT=\"139851141\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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