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{{Redirect|XXVI|the company|XXVI Holdings}}'''01301684129'''{{Infobox number
| number =  26
|factorization=us**26| divisor = 1, 2, 13, 26 
}}
'''26''' ('''twenty-six''') is the [[natural number]] following [[25 (number)|25]] and preceding [[27 (number)|27]].

== In mathematics ==
[[File:Special 26.jpg|thumb|Poster designed to depict the speciality of the number 26]]
*26 is the seventh discrete [[semiprime]] (<math>2 \times 13</math>) <ref>{{Cite OEIS|sequencenumber=A001358}}</ref> and the fifth with 2 as the lowest non-unitary factor thus of the form (2.q), where q is a higher prime.
*26 is the smallest even number ''n'' such that both ''n'' + 1 and ''n'' − 1 are [[Composite number|composite]].
*With an [[aliquot sum]] of [[16 (number)|16]], within an [[aliquot sequence]] of five composite numbers (26,[[16 (number)|16]],[[15 (number)|15]],[[9 (number)|9]],[[4 (number)|4]],[[3 (number)|3]],[[1 (number)|1]],0) to the Prime in the [[3 (number)|3]]-aliquot tree.
*26 is the only [[integer]] that is one greater than a square (5{{sup|2}} + 1) and one less than a cube (3{{sup|3}} − 1).<ref>{{cite web|url=http://www.normalesup.org/~baglio/maths/26number.pdf |title=The number 26, between 25 and 27 |access-date=2012-06-05}}</ref>
*26 is a [[Telephone number (mathematics)|telephone number]], specifically, the number of ways of connecting 5 points with pairwise connections.<ref>{{Cite web|url=https://oeis.org/A000085|title=Sloane's A000085 : Involution numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2021-12-03}}</ref>
*There are 26 [[sporadic group]]s.<ref>{{Cite book|last=Wilson|first=Robert|url=https://books.google.com/books?id=lYMAg_Sj7hUC&q=26+sporadic+groups.&pg=PA183|title=The Finite Simple Groups|date=2009-12-14|publisher=Springer Science & Business Media|isbn=978-1-84800-987-5|pages=183|language=en|quote=In this chapter we introduce the 26 sporadic simple groups.}}</ref>
*The 26-dimensional Lorentzian [[unimodular lattice]] [[II25,1|II<sub>25,1</sub>]] plays a significant role in [[sphere packing]] problems and the [[classification of finite simple groups]].  In particular, the [[Leech lattice]] is obtained in a simple way as a subquotient.
*26 is the smallest number that is both a [[nontotient]] and a [[noncototient]] number.
*26 is the number of permutations of {a, b, c, d, e} with only one [[Eulerian number|ascent]].<ref name="A000295">{{Cite OEIS |A000295 |Eulerian numbers. |access-date=2024-07-28 }}</ref>{{efn|1=26 is the sixteenth [[Composite number|composite]], an index value equal to the sum of prime factors of 26 (2, and 13), and [[1]] (i.e., its [[Aliquot sum|aliquot part]]); this is also the total sum of permutations of only one ascent in all of {a, b}, {a, b, c} and {a, b, c, d}, individually numbering 1, 4, and 11, respectively.<ref name="A000295" /> }}
*There are 26 faces of a [[rhombicuboctahedron]].<ref>{{Cite book|last=Saiber|first=Arielle|url=https://books.google.com/books?id=Zu9ADwAAQBAJ&q=rhombicuboctahedron+has+twenty-six+faces.&pg=PA51|title=Measured Words: Computation and Writing in Renaissance Italy|publisher=University of Toronto Press|isbn=978-0-8020-3950-7|pages=51|language=en|quote=large, transparent rhombicuboctahedron (a polyhedron with twenty-six faces,}}</ref>
*When a 3 × 3 × 3 cube is made of 27 unit cubes (e.g. [[Rubik's Cube]]), 26 of them are viewable as the exterior layer.  Related to this, 26 is the total of directions from the center of a [[cube]] when adding the following: 6 flat faces + 12 edges + 8 vertices.
* A 26-sided [[polygon]] is called an [[List of polygons|icosihexagon]].<ref>{{Cite web|title=polygon|url=https://www.2dcurves.com/line/linep.html|access-date=2021-02-02|website=www.2dcurves.com}}</ref>
*φ(26) = φ(σ(26)).<ref>{{cite OEIS|A006872|Numbers k such that phi(k) = phi(sigma(k))}}</ref>

=== Properties of its positional representation in certain radixes ===
Twenty-six is a [[repdigit]] in [[radix|base]] [[ternary numeral system|three]] (222<sub>3</sub>) and in base 12 (22<sub>12</sub>).

In [[decimal|base ten]], 26 is the smallest positive integer that is not a [[palindrome]] to have a [[square number|square]] (26<sup>2</sup> = [[676 (number)|676]]) that is a palindrome.

== In science ==
*The [[atomic number]] of [[iron]].
*The number of [[spacetime]] [[dimension]]s in [[bosonic string theory]].

=== Astronomy ===
*[[Messier object]] [[Open Cluster M26|M26]], a [[visual magnitude|magnitude]] 9.5 [[open cluster]] in the [[constellation]] [[Scutum (constellation)|Scutum]].
*The [[New General Catalogue]] object [[NGC 26]], a [[spiral galaxy]] in the constellation [[Pegasus (constellation)|Pegasus]].

== In religion ==
* 26 is the [[gematria|gematric]] number, being the sum of the Hebrew characters ({{langx|he|יהוה}}) being the name of the god of Israel – [[Tetragrammaton|YHWH]] (''Yahweh'').
* GOD=26=G7+O15+D4 in ''Simple6,74 English7,74 Gematria8,74'' ('The Key': A=1, B2, C3, ..., Z26).
* The Greek Strongs number G26 is "''Agape''", which means "Love".
* The expression "For His mercy endures forever" is found verbatim in English and the original Hebrew 26 times in [[Psalm 136]]. The expression is found once in each of the 26 verses.
* According to Jewish [[chronology]], [[God]] gave the [[Torah]] in the 26th generation since [[Creation myth|Creation]].

==In sports==
* The number of complete miles in a [[marathon]] (26 miles and 385 yards).<ref>{{Cite web|title=Definition of MARATHON|url=https://www.merriam-webster.com/dictionary/marathon|access-date=2020-08-12|website=www.merriam-webster.com|language=en}}</ref>
* Each national team competing in the [[FIFA World Cup]] is allowed a 26-player squad. This squad size has been in place since [[2022 FIFA World Cup|2022]].
* Effective in 2020, the size of the full roster on a Major League Baseball team, except for regular-season games on or after September 1, when teams expand their rosters to 28 players.
* The number of holes in a [[floorball]] ball.
* The maximum capacity of cars allowed to compete in an official [[Formula One]] Grand Prix race.
* In the sport of [[darts]], scoring 26 points is typical for amateur players and even occasionally happens in professional darts.

== In other fields ==
'''Twenty-six''' is:
* A 2003 novel by [[Leo McKay, Jr.]] The title refers to the number of miners killed in the [[Westray Mine]] explosion.<ref>{{Cite web|title=Twenty-Six|url=https://www.goodreads.com/work/best_book/1487714-twenty-six|access-date=2020-08-13|website=www.goodreads.com}}</ref>

'''26''' is:
* The sixth track of ''[[After Laughter]]'', the fifth studio album by American alternative band [[Paramore]].<ref>{{Citation|title=26 - Paramore {{!}} Song Info {{!}} AllMusic|url=https://www.allmusic.com/song/26-mt0054315280|language=en-us|access-date=2020-08-12}}</ref>
* The eighth track of ''[[The Balcony (album)|The Balcony]]'', the first studio album by British modern rock band [[Catfish and the Bottlemen]].<ref>{{Citation|title=26 - Catfish and the Bottlemen {{!}} Song Info {{!}} AllMusic|url=https://www.allmusic.com/song/26-mt0051124791|language=en-us|access-date=2020-08-12}}</ref>
* In Microsoft Windows list of Alt Codes, the combination {{keypress|Alt}}+{{key press|2}}{{key press|6}} yields the "right arrow" symbol →.
* The number of the last letter of the English alphabet, Z.
* The name of the Australian [[alternative rock]] band, [[26 (band)|26]].<ref>{{Cite web|title=26 {{!}} Album Discography|url=https://www.allmusic.com/artist/26-mn0001904406|access-date=2020-08-13|website=AllMusic|language=en-us}}</ref>
* The number of [[Letter (alphabet)|letters]] in the basic [[Latin alphabet]], if [[capital letters]] are not distinguished from [[lowercase letters]].
* The total number of cases on most versions of ''[[Deal or No Deal]]''.
* Often (in the United States) the number of [[episode]]s in a [[television program]] each year; this allows one new show per week for half the year, and one rerun per week for the rest of the year.
* The [[pseudonym|alias]] of [[punk rock]] singer [[Doc Corbin Dart]].
* The age at which males could no longer be [[Conscription in the United States|drafted in the United States]].
* A [[dice]] game popular in the [[Midwestern United States|Midwest]] United States from the 1930s to 1950s; players had to roll a chosen number 26 times or more, exactly 13 or fewer than 10.<ref>"Twenty-six."  Encyclopædia Britannica. ''Encyclopædia Britannica 2007 Ultimate Reference Suite''. Chicago: Encyclopædia Britannica, 2007.</ref>
* In a normal deck of cards, there are 26 red cards and 26 black cards.
* The number of [[Cantons of Switzerland]].<ref>{{Cite book|last=Leemann|first=Adrian|url=https://books.google.com/books?id=10gj_KWPKMUC&q=26+Cantons+of+Switzerland.&pg=PA69|title=Swiss German Intonation Patterns|date=2012-07-04|publisher=John Benjamins Publishing|isbn=978-90-272-7384-0|pages=69|language=en|quote=There are 26 Cantons in Switzerland, ...}}</ref>
* The number of bones in the normal human foot and ankle.
* XXVI Holdings, Inc, named after the Roman numerals for the number 26, is a holding company that is part of [[Alphabet, Inc.]], the structure that ultimately owns [[Google]].
* The number of counties in the [[Republic of Ireland]].

== See also ==
* [[List of highways numbered 26]]

== References ==
{{Notelist}}
<references/>

== External links ==
* [http://primes.utm.edu/curios/page.php/26.html Prime Curios! 26] from the [[Prime Pages]]

{{Integers|zero}}

{{DEFAULTSORT:26 (Number)}}
[[Category:Integers]]

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