{"status": "success", "data": {"description_md": "Let a positive integer $x$ be $17$-ful if there exists a power of $17$ greater than or equal to $\\sqrt{x}$ that divides $x$. The number of $17$-ful positive integers less than or equal to $17^{2025}$ is equal to $a\\cdot 17^b$ where $a$ is coprime with $17$. Find $a+b$.", "description_html": "<p>Let a positive integer <span class=\"katex--inline\">x</span> be <span class=\"katex--inline\">17</span>-ful if there exists a power of <span class=\"katex--inline\">17</span> greater than or equal to <span class=\"katex--inline\">\\sqrt{x}</span> that divides <span class=\"katex--inline\">x</span>. The number of <span class=\"katex--inline\">17</span>-ful positive integers less than or equal to <span class=\"katex--inline\">17^{2025}</span> is equal to <span class=\"katex--inline\">a\\cdot 17^b</span> where <span class=\"katex--inline\">a</span> is coprime with <span class=\"katex--inline\">17</span>. Find <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "Holiday Contest 2025 - Individual Round - Problem 7", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}