{"status": "success", "data": {"description_md": "For the positive integer $n$, let $\\langle n\\rangle$ denote the sum of all the positive divisors of $n$ with the exception of $n$ itself. For example, $\\langle 4\\rangle=1+2=3$ and $\\langle 12 \\rangle =1+2+3+4+6=16$. What is $\\langle\\langle\\langle 6\\rangle\\rangle\\rangle$?\n\n$\\mathrm{(A)}\\ 6\\qquad\\mathrm{(B)}\\ 12\\qquad\\mathrm{(C)}\\ 24\\qquad\\mathrm{(D)}\\ 32\\qquad\\mathrm{(E)}\\ 36$", "description_html": "<p>For the positive integer  <span class=\"katex--inline\">n</span> , let  <span class=\"katex--inline\">\\langle n\\rangle</span>  denote the sum of all the positive divisors of  <span class=\"katex--inline\">n</span>  with the exception of  <span class=\"katex--inline\">n</span>  itself. For example,  <span class=\"katex--inline\">\\langle 4\\rangle=1+2=3</span>  and  <span class=\"katex--inline\">\\langle 12 \\rangle =1+2+3+4+6=16</span> . What is  <span class=\"katex--inline\">\\langle\\langle\\langle 6\\rangle\\rangle\\rangle</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 6\\qquad\\mathrm{(B)}\\ 12\\qquad\\mathrm{(C)}\\ 24\\qquad\\mathrm{(D)}\\ 32\\qquad\\mathrm{(E)}\\ 36</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2008 AMC 10A Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10A_p04", "prev": "/problem/08_amc10A_p02"}}