204 (number)

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title: "204 (number)" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["integers"] topic_path: "general/integers" source: "https://en.wikipedia.org/wiki/204_(number)" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

::data[format=table title="Infobox number"]

FieldValue
number204
divisor1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
::

| number = 204 | divisor = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

204 (two hundred [and] four) is the natural number following 203 and preceding 205.

In mathematics

::figure[src="https://upload.wikimedia.org/wikipedia/commons/3/36/square-pyramidal-204.png" caption="204 is a square pyramidal number."] ::

204 is a refactorable number. 204 is a square pyramidal number: 204 balls may be stacked in a pyramid whose base is an 8 × 8 square, as it is a sum of all the perfect squares from 1 to 64 (i.e. 12 + 22 + 32 + 42 + 52 + 62 + 72 + 82 = 204). Its square, 2042 = 41616, is the fourth square triangular number. As a figurate number, 204 is also a nonagonal number and a truncated triangular pyramid number. 204 is a member of the Mian-Chowla sequence.

There are exactly 204 irreducible quintic polynomials over a four-element field, exactly 204 ways to place three non-attacking chess queens on a 5 × 5 board, exactly 204 squares of an infinite chess move that are eight knight's moves from the center, exactly 204 strings of length 11 over a three-letter alphabet with no consecutively-repeated substring, and exactly 204 ways of immersing an oriented circle into the oriented plane so that it has four double points.

Both 204 and its square are sums of a pair of twin primes: 204 = 101 + 103 and 2042 = 41616 = 20807 + 20809. The only smaller numbers with the same property are 12 and 84.

In other fields

  • 204 is the HTTP status code indicating the request was successfully fulfilled and that there is no additional content to send in the response payload body.

References

References

  1. {{Cite OEIS
  2. {{Cite OEIS. A000330
  3. {{Cite OEIS. A001109
  4. {{Cite OEIS. A001106
  5. {{Cite OEIS. A051937
  6. {{Cite OEIS
  7. {{Cite OEIS. A027377
  8. {{Cite OEIS. A047659
  9. {{Cite OEIS. A018842
  10. {{Cite OEIS. A006156
  11. {{Cite OEIS. A008980
  12. {{Cite OEIS. A213784
  13. [http://tools.ietf.org/html/rfc7231#section-6.3.5 Hypertext Transfer Protocol (HTTP/1.1): Semantics and Content], itef.org, retrieved 2014-07-29.

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integers