The th hexagonal number is for a positive integer . Since , every hexagonal number is also a triangular number.
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A hexagonal number is a figurate number that represents a hexagon. The \(n\)th hexagonal number can be calculated using the formula: \[ H_n = n(2n - 1) \] where \(n\) is a positive integer. Hexagonal numbers can be visualized as a pattern of points arranged in the shape of a hexagon.