Thus, the smallest such number is $\boxed{1116}$.

Wed, 06 May 2026 04:25:54 +0000

Thus, the Smallest Such Number is $oxed{1116}$: A Deep Dive into Mathematical Discovery In the world of number theory and mathematical optimization, discovering the smallest instance of a particular property often reveals deep insights into structure, patterns, and hidden relationships. One such intriguing result is the conclusion that the smallest number satisfying a specific, defined condition is $oxed{1116}$. At first glance, 1116 might seem arbitrary. However, its appearance as the minimal such number typically arises from constraints rooted in factors, divisibility, combinatorics, or modular arithmetic—areas where precise conditions yield exact solutions. Through systematic exploration and rigorous proof, mathematicians and enthusiasts alike determine that no smaller number meets the desired criteria. ### Why 1116? The Mathematical Reasoning