26 (number)

← 25 26 27 →
← 20 21 22 23 24 25 26 27 28 29 → List of numbers; Integers; ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	twenty-six
Ordinal	26th; (twenty-sixth)
Factorization	2 × 13
Divisors	1, 2, 13, 26
Greek numeral	ΚϚ´
Roman numeral	XXVI
Binary	110102
Ternary	2223
Senary	426
Octal	328
Duodecimal	2212
Hexadecimal	1A16

26 (twenty-six) is the natural number following 25 and preceding 27.

In mathematics[edit]

26 is the seventh discrete semiprime ( $2\times 13$ ) ^[1] 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.
With an aliquot sum of 16, within an aliquot sequence of five composite numbers (26,16,15,9,4,3,1,0) to the Prime in the 3-aliquot tree.
26 is the only integer that is one greater than a square (5² + 1) and one less than a cube (3³ − 1).^[2]
26 is a telephone number, specifically, the number of ways of connecting 5 points with pairwise connections.^[3]
There are 26 sporadic groups.^[4]
The 26-dimensional Lorentzian unimodular lattice II_25,1 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.
There are 26 faces of a rhombicuboctahedron.^[5]
When a 3 × 3 × 3 cube is made of 27 unit cubes, 26 of them are viewable as the exterior layer. Also a 26 sided polygon is called an icosihexagon.^[6]
φ(26) = φ(σ(26)).^[7]

Properties of its positional representation in certain radixes[edit]

Twenty-six is a repdigit in base three (222₃) and in base 12 (22₁₂).

In base ten, 26 is the smallest positive integer that is not a palindrome to have a square (26² = 676) that is a palindrome.

In science[edit]

The atomic number of iron.
The number of spacetime dimensions in bosonic string theory.

Astronomy[edit]

Messier object M26, a magnitude 9.5 open cluster in the constellation Scutum.
The New General Catalogue object NGC 26, a spiral galaxy in the constellation Pegasus.

In religion[edit]

26 is the gematric number, being the sum of the Hebrew characters (Hebrew: יהוה) being the name of the god of Israel – 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.

In sports[edit]

The number of complete miles in a marathon (26 miles and 385 yards).^[8]
Each national team competing in the FIFA World Cup is allowed a 26-player squad. This squad size has been in place since 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 other fields[edit]

Twenty-six is:

A 2003 novel by Leo McKay, Jr. The title refers to the number of miners killed in the Westray Mine explosion.^[9]

26 is:

The sixth track of After Laughter, the fifth studio album by American alternative band Paramore.^[10]
The eighth track of The Balcony, the first studio album by British modern rock band Catfish and the Bottlemen.^[11]
In Microsoft Windows list of Alt Codes, the combination Alt+26 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.^[12]
The number of 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 episodes 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 alias of punk rock singer Doc Corbin Dart.
The age at which males could no longer be drafted in the United States.
A dice game popular in the 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.^[13]
In a normal deck of cards, there are 26 red cards and 26 black cards.
The number of Cantons of Switzerland.^[14]
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.

References[edit]

^ Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^ "The number 26, between 25 and 27" (PDF). Retrieved 2012-06-05.
^ "Sloane's A000085 : Involution numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-12-03.
^ Wilson, Robert (2009-12-14). The Finite Simple Groups. Springer Science & Business Media. p. 183. ISBN 978-1-84800-987-5. In this chapter we introduce the 26 sporadic simple groups.
^ Saiber, Arielle. Measured Words: Computation and Writing in Renaissance Italy. University of Toronto Press. p. 51. ISBN 978-0-8020-3950-7. large, transparent rhombicuboctahedron (a polyhedron with twenty-six faces,
^ "polygon". www.2dcurves.com. Retrieved 2021-02-02.
^ Sloane, N. J. A. (ed.). "Sequence A006872". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^ "Definition of MARATHON". www.merriam-webster.com. Retrieved 2020-08-12.
^ "Twenty-Six". www.goodreads.com. Retrieved 2020-08-13.
^ 26 - Paramore | Song Info | AllMusic, retrieved 2020-08-12
^ 26 - Catfish and the Bottlemen | Song Info | AllMusic, retrieved 2020-08-12
^ "26 | Album Discography". AllMusic. Retrieved 2020-08-13.
^ "Twenty-six." Encyclopædia Britannica. Encyclopædia Britannica 2007 Ultimate Reference Suite. Chicago: Encyclopædia Britannica, 2007.
^ Leemann, Adrian (2012-07-04). Swiss German Intonation Patterns. John Benjamins Publishing. p. 69. ISBN 978-90-272-7384-0. There are 26 Cantons in Switzerland, ...

External links[edit]

Prime Curios! 26 from the Prime Pages

[1] Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[2] "The number 26, between 25 and 27" (PDF). Retrieved 2012-06-05.

[3] "Sloane's A000085 : Involution numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-12-03.

[4] Wilson, Robert (2009-12-14). The Finite Simple Groups. Springer Science & Business Media. p. 183. ISBN 978-1-84800-987-5. In this chapter we introduce the 26 sporadic simple groups.

[5] Saiber, Arielle. Measured Words: Computation and Writing in Renaissance Italy. University of Toronto Press. p. 51. ISBN 978-0-8020-3950-7. large, transparent rhombicuboctahedron (a polyhedron with twenty-six faces,

[6] "polygon". www.2dcurves.com. Retrieved 2021-02-02.

[7] Sloane, N. J. A. (ed.). "Sequence A006872". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[8] "Definition of MARATHON". www.merriam-webster.com. Retrieved 2020-08-12.

[9] "Twenty-Six". www.goodreads.com. Retrieved 2020-08-13.

[10] 26 - Paramore | Song Info | AllMusic, retrieved 2020-08-12

[11] 26 - Catfish and the Bottlemen | Song Info | AllMusic, retrieved 2020-08-12

[12] "26 | Album Discography". AllMusic. Retrieved 2020-08-13.

[13] "Twenty-six." Encyclopædia Britannica. Encyclopædia Britannica 2007 Ultimate Reference Suite. Chicago: Encyclopædia Britannica, 2007.

[14] Leemann, Adrian (2012-07-04). Swiss German Intonation Patterns. John Benjamins Publishing. p. 69. ISBN 978-90-272-7384-0. There are 26 Cantons in Switzerland, ...

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