204 (number)
| ||||
|---|---|---|---|---|
| Cardinal | two hundred four | |||
| Ordinal | 204th (two hundred fourth) | |||
| Factorization | 22× 3 × 17 | |||
| Divisors | 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204 | |||
| Greek numeral | ΣΔ´ | |||
| Roman numeral | CCIV | |||
| Binary | 110011002 | |||
| Ternary | 211203 | |||
| Senary | 5406 | |||
| Octal | 3148 | |||
| Duodecimal | 15012 | |||
| Hexadecimal | CC16 | |||
204(two hundred [and] four) is thenatural numberfollowing203and preceding205.
In mathematics[edit]
204 is arefactorable number.[1]204 is asquare pyramidal number:204 balls may be stacked in a pyramid whose base is an 8 × 8 square.[2]Its square, 2042= 41616, is the fourthsquare triangular number.[3]As afigurate number,204 is also anonagonal number[4]and a truncated triangular pyramid number.[5]204 is a member of theMian-Chowla sequence.[6]
There are exactly 204irreduciblequinticpolynomialsover a four-element field,[7]exactly 204 ways to place three non-attackingchess queenson a 5 × 5 board,[8]exactly 204 squares of an infinite chess move that are eight knight's moves from the center,[9]exactly 204 strings of length 11 over a three-letter alphabet with no consecutively-repeated substring,[10]and exactly 204 ways ofimmersingan oriented circle into the oriented plane so that it has four double points.[11]
Both 204 and its square are sums of a pair oftwin primes:204 = 101 + 103 and 2042= 41616 = 20807 + 20809. The only smaller numbers with the same property are 12 and 84.[12]
204 is a sum of all theperfect squaresfrom 1 to 64 (i.e. 12+ 22+ 32+ 42+ 52+ 62+ 72+ 82= 204).
In other fields[edit]
- In telecommunications,area code 204is a North American telephone area code for the Canadian province ofManitoba.204 is one of the original 86 area codes assigned in 1947 in the contiguous United States and the then-nine-province extent of Canada. More recently a second area code (431) was added to allow for the expanding phone number distribution within the province.
- 204 is theHTTP status codeindicating the request was successfully fulfilled and that there is no additional content to send in the response payload body.[13]
- In apokerdeck with a single wild joker, there are 204 hands that are at least as good as astraight flush.[14]
- Model 204is adatabase management system.
References[edit]
- ^Sloane, N. J. A.(ed.)."Sequence A033950 (Refactorable numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-04-18.
- ^Sloane, N. J. A.(ed.)."Sequence A000330 (Square pyramidal numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A001109 (a(n)^2 is a triangular number)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A051937 (Truncated triangular pyramid numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A005282 (Mian-Chowla Sequence)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-04-19.
- ^Sloane, N. J. A.(ed.)."Sequence A027377 (Number of irreducible polynomials of degree n over GF(4); dimensions of free Lie algebras)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A047659 (Number of ways to place 3 nonattacking queens on an n X n board)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A018842 (Number of squares on infinite chess-board at n knight's moves from center)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A006156 (Number of ternary squarefree words of length n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Sloane, N. J. A.(ed.)."Sequence A008980 (Number of immersions of the oriented circle into the oriented plane with n double points)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation..
- ^Sloane, N. J. A.(ed.)."Sequence A213784 (Numbers n such both n and n^2 are sums of a twin prime pair)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
- ^Hypertext Transfer Protocol (HTTP/1.1): Semantics and Content,itef.org, retrieved 2014-07-29.
- ^Sloane, N. J. A.(ed.)."Sequence A057804 (Number of ways of getting at least... in wild-card poker with 1 joker)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.See alsoOEIS:A057807.