{"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 $\\{ 2010,2011,2012, ... ,2019 \\}$ 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 &#8216;&#8216;nice&#8217;&#8217; 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, ... ,2019 \\}</span> are nice?</p>&#10;<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>&#10;", "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"}}