TITLE: Notation for "the highest power of $p$ that divides $n$"
QUESTION [8 upvotes]: If $p$ is a prime and $n$ an integer, is there a standard or commonly used notation for "the highest power of $p$ that divides $n$"?
It's a concept that is often used repeatedly in number-theoretic proofs (see for example this answer), and a convenient notation could make such proofs much more concise.  This answer uses the notation $\{n,p\}$, which is convenient but seems not to be widely used.
Edit: Prompted by Thomas Kildetoft's comment below, by a convenient notation I mean one which facilitates not only simple statements such as:

$m$ is the highest power of $p$ that divides $n$.

but also more complex statements such as:

$m$ = (The highest power of $p$ that divides $n$) + 1

REPLY [6 votes]: This can be seen as a special case of the more general concept of valuations (on discrete valuation rings).
A common notation in that context, which is quite convenient also here is $\nu_p(n)$.