219_(number)

219 (number)

219 (number)

Natural number

219 (two hundred [and] nineteen) is the natural number following 218 and preceding 220.

Quick Facts ← 218 219 220 →, Cardinal ...

In mathematics

  • 219 is a happy number.[1]
  • Mertens function (219) = 4, a record high.[2]
  • There are 219 partially ordered sets on four labeled elements.[3]
  • 219 is the smallest number that can be represented as a sum of four positive cubes in two different ways.[4]
  • There are 219 different space groups, discrete and full-dimensional sets of symmetries of three-dimensional space or of crystal structures.

References

  1. [1]
    Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. [2]
    Sloane, N. J. A. (ed.). "Sequence A051400 (Smallest value of x such that M(x)=n, where M() is Mertens's function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. [3]
    Sloane, N. J. A. (ed.). "Sequence A001035 (Number of partially ordered sets ("posets") with n labeled elements (or labeled acyclic transitive digraphs))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. [4]
    Sloane, N. J. A. (ed.). "Sequence A025420 (Least sum of 4 positive cubes in exactly n ways)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..
Stub icon

This article about a number is a stub. You can help Wikipedia by expanding it.
Share this article:

This article uses material from the Wikipedia article 219_(number), and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.