MathDB
Sum of Divisors

Source: AMC 10 2008A Problem 3

February 22, 2008
AMC

Problem Statement

For the positive integer nn, let <n>\left< n \right> denote the sum of all the positive divisors of nn with the exception of nn itself. For example, <4>=1+2=3\left<4\right> = 1+2=3 and <12>=1+2+3+4+6=16\left<12\right>=1+2+3+4+6=16 What is <<<6>>>\left< \left< \left< 6 \right>\right>\right>?
<spanclass=latexbold>(A)</span> 6<spanclass=latexbold>(B)</span> 12<spanclass=latexbold>(C)</span> 24<spanclass=latexbold>(D)</span> 32<spanclass=latexbold>(E)</span> 36 <span class='latex-bold'>(A)</span>\ 6 \qquad <span class='latex-bold'>(B)</span>\ 12 \qquad <span class='latex-bold'>(C)</span>\ 24 \qquad <span class='latex-bold'>(D)</span>\ 32 \qquad <span class='latex-bold'>(E)</span>\ 36