<p>Given an integer <code>n</code>, return <em>the number of ways you can write </em><code>n</code><em> as the sum of consecutive positive integers.</em></p> <p> </p> <p><strong>Example 1:</strong></p> <pre> <strong>Input:</strong> n = 5 <strong>Output:</strong> 2 <strong>Explanation:</strong> 5 = 2 + 3 </pre> <p><strong>Example 2:</strong></p> <pre> <strong>Input:</strong> n = 9 <strong>Output:</strong> 3 <strong>Explanation:</strong> 9 = 4 + 5 = 2 + 3 + 4 </pre> <p><strong>Example 3:</strong></p> <pre> <strong>Input:</strong> n = 15 <strong>Output:</strong> 4 <strong>Explanation:</strong> 15 = 8 + 7 = 4 + 5 + 6 = 1 + 2 + 3 + 4 + 5 </pre> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= n <= 10<sup>9</sup></code></li> </ul>