26 (number)

26 is the natural number following 25 and preceding 27.

In mathematics

26 is the seventh discrete semiprime and the fifth with 2 as the lowest non-unitary factor thus of the form, 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 to the Prime in the 3-aliquot tree.
26 is the only integer that is one greater than a square and one less than a cube.
26 is a telephone number, specifically, the number of ways of connecting 5 points with pairwise connections.
There are 26 sporadic groups.
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 number of permutations of with only one ascent.
There are 26 faces of a rhombicuboctahedron.
The gyroelongated square cupola, elongated square gyrobicupola, gyroelongated triangular bicupola, and snub square antiprism each have 26 faces.
When a 3 × 3 × 3 cube is made of 27 unit cubes, 26 of them are viewable as the exterior layer.
A cube has 26 elements: 6 faces, 12 edges, and 8 vertices.
A 26-sided polygon is called an icosihexagon.
φ = 12 = φ.
Properties of its positional representation in certain radixes

Twenty-six is a repdigit in bases three and twelve.
In base ten, 26 is the smallest positive integer that is not a palindrome to have a square that is a palindrome.

26 is the gematric number, being the sum of the Hebrew characters being the name of the god of Israel – YHWH.
26 is also the gematric number for GOD with the corresponding substitutions in English
In the Tenrikyo religion of Japan, 26 is frequently used, since it marks the lunar calendar date of its founder Nakayama Miki's first divine revelation and also her death.
In science
Iron is the 26th element in the periodic table.
Messier 26 is an open cluster of stars in the southern constellation of Scutum.
NGC 26 is a spiral galaxy in the Pegasus constellation.
The maximum time difference between two timezones is 26 hours.
In other fields
26 is the number of the letters in the Latin Alphabet.