This number is a prime.
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When any three-digit number is multiplied by 333667 and the number three, the result will always be the same three digits repeated three times. E.g., 123 x 333667 x 3 = 123123123. Any nine-digit number that repeats three digits three times will always have 333667 as a highest prime factor. [Schuler]
The 333rd hexagon number. This means 333667 coins could form a hexagon shape with one coin in the middle and 333 + 1 coins on each side. [Schuler]