\(6\) is a congruent number because it is the area of a right-angled triangle whose side lengths are rational numbers: \(3\), \(4\) and \(5\).

The product of three consecutive integers is divisible by \(6\). Prove it by mathematical induction!

A hexagon has \(6\) sides.

\(6\) is a triangular number, ie, it is a natural number which can be represented by an equilateral triangle.

\(6\) can be written as the sum of two primes \(6=3+3\). According to the Goldbach's Conjecture every even integer greater than \(2\) can be expressed as the sum of two primes.

\(6\) is the number of faces of the hexahedron, also called cube.

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