{"status": "success", "data": {"description_md": "A positive integer $n$ is ''nice'' if there is a positive integer $m$ with exactly four positive divisors (including $1$ and $m$) such that the sum of the four divisors is equal to $n$. How many numbers in the set $\\{ 2010,2011,2012,\\dotsc,2019 \\}$ are nice?\n\n$\\textbf{(A)}\\ 1 \\qquad\\textbf{(B)}\\ 2 \\qquad\\textbf{(C)}\\ 3 \\qquad\\textbf{(D)}\\ 4 \\qquad\\textbf{(E)}\\ 5$", "description_html": "<p>A positive integer  <span class=\"katex--inline\">n</span>  is &#8220;nice&#8221; if there is a positive integer  <span class=\"katex--inline\">m</span>  with exactly four positive divisors (including  <span class=\"katex--inline\">1</span>  and  <span class=\"katex--inline\">m</span> ) such that the sum of the four divisors is equal to  <span class=\"katex--inline\">n</span> . How many numbers in the set  <span class=\"katex--inline\">\\{ 2010,2011,2012,\\dotsc,2019 \\}</span>  are nice?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 1 \\qquad\\textbf{(B)}\\ 2 \\qquad\\textbf{(C)}\\ 3 \\qquad\\textbf{(D)}\\ 4 \\qquad\\textbf{(E)}\\ 5</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": 4, "problem_name": "2013 AMC 10B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10B_p25", "prev": "/problem/13_amc10B_p23"}}