2023 IMO 第 1 题

Determine all composite integers $n > 1$ that satisfy the following property: if $d_{1}< d_{2}< \dots < d_{k}$ are all the positive divisors of $n$ with then $d_{i}$ divides $d_{i + 1} + d_{i + 2}$ for every $1\leq i\leq k - 2$

确定满足以下属性的所有复合整数 $n > 1$：如果 $d_{1}< d_{2}< \dots < d_{k}$ 都是 $n$ 的正约数，则对于每个 $1\leq i\leq k - 2$，$d_{i}$ 可以除以 $d_{i + 1} + d_{i + 2}$