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5 results for “integers”

Formulae (5)

n! = n\times(n-1)\times\cdots\times 2\times 1

Product of all positive integers up to n.

n! = n \times (n-1) \times \cdots \times 2 \times 1

Product of all positive integers up to n.

\phi(n) = n\prod_{p|n}\left(1 - \frac{1}{p}\right)

Counts integers up to n coprime to n.

\sum_{k=1}^{n} k = \frac{n(n+1)}{2}

Closed form for the sum of the first n natural numbers.

-N = \lnot N + 1

Represents negative integers in binary by inverting bits and adding one.