leetcode-problemset/leetcode/originData/smallest-value-after-replacing-with-sum-of-prime-factors.json

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            "title": "Smallest Value After Replacing With Sum of Prime Factors",
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            "content": "<p>You are given a positive integer <code>n</code>.</p>\n\n<p>Continuously replace <code>n</code> with the sum of its <strong>prime factors</strong>.</p>\n\n<ul>\n\t<li>Note that if a prime factor divides <code>n</code> multiple times, it should be included in the sum as many times as it divides <code>n</code>.</li>\n</ul>\n\n<p>Return <em>the smallest value </em><code>n</code><em> will take on.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 15\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> Initially, n = 15.\n15 = 3 * 5, so replace n with 3 + 5 = 8.\n8 = 2 * 2 * 2, so replace n with 2 + 2 + 2 = 6.\n6 = 2 * 3, so replace n with 2 + 3 = 5.\n5 is the smallest value n will take on.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Initially, n = 3.\n3 is the smallest value n will take on.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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                "Every time you replace n, it will become smaller until it is a prime number, where it will keep the same value each time you replace it.",
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