35 (thirty-five) is the
natural number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country").
Numbers used for counting are called '' cardinal ...
following
34 and preceding
36.
In mathematics
35 is the sum of the first five
triangular numbers, making it a
tetrahedral number.
35 is the number of ways that three things can be selected from a set of seven unique things, also known as the "
combination of seven things taken three at a time".
35 is a
centered cube number, a
centered tetrahedral number
A centered tetrahedral number is a centered figurate number that represents a tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular ...
, a
pentagonal number, and a
pentatope number.
35 is a
highly cototient number In number theory, a branch of mathematics, a highly cototient number is a positive integer k which is above 1 and has more solutions to the equation
:x - \phi(x) = k
than any other integer below k and above 1. Here, \phi is Euler's totient f ...
, since there are more solutions to the equation
than there are for any other integers below it except 1.
There are 35 free
hexomino
A hexomino (or 6-omino) is a polyomino of order 6, that is, a polygon in the plane made of 6 equal-sized squares connected edge-to-edge. The name of this type of figure is formed with the prefix hex(a)-. When rotations and reflections are n ...
es, the
polyominoes made from six squares.
Since the greatest prime factor of
is 613, which is more than 35 twice, 35 is a
Størmer number.
35 is the tenth discrete
semiprime
In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers.
Because there are infinitely many prime ...
(
) and the first with 5 as the lowest non-unitary factor. The aliquot sum of 35 is 13, this being the second
composite number
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor
In mathematics, a divisor of an integer n, also called a factor ...
with such an aliquot sum; the first being the cube
27. 35 is the last member of the first triple cluster of semiprimes 33, 34, 35. The second such triple discrete semiprime cluster is 85, 86, 87.
35 is the highest number one can count to on one's fingers using
senary
A senary () numeral system (also known as base-6, heximal, or seximal) has six as its base. It has been adopted independently by a small number of cultures. Like decimal, it is a semiprime, though it is unique as the product of the only two c ...
.
35 is the number of quasigroups of order 4.
35 is the smallest
composite number
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor
In mathematics, a divisor of an integer n, also called a factor ...
of the form
, where is a non-negative integer.
In science
*The
atomic number
The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of ever ...
of
bromine
Bromine is a chemical element with the symbol Br and atomic number 35. It is the third-lightest element in group 17 of the periodic table ( halogens) and is a volatile red-brown liquid at room temperature that evaporates readily to form a simi ...
In other fields
*
35 mm film is the basic film gauge most commonly used for both analog
photography
Photography is the art, application, and practice of creating durable images by recording light, either electronically by means of an image sensor, or chemically by means of a light-sensitive material such as photographic film. It is emplo ...
and
motion pictures.
* The minimum age of presidential candidates for election to the
United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country Continental United States, primarily located in North America. It consists of 50 U.S. state, states, a Washington, D.C., ...
,
Ireland
Ireland ( ; ga, Éire ; Ulster-Scots: ) is an island in the North Atlantic Ocean, in north-western Europe. It is separated from Great Britain to its east by the North Channel, the Irish Sea, and St George's Channel. Ireland is the s ...
,
Russia
Russia (, , ), or the Russian Federation, is a transcontinental country spanning Eastern Europe and Northern Asia. It is the largest country in the world, with its internationally recognised territory covering , and encompassing one-ei ...
,
Trinidad and Tobago
Trinidad and Tobago (, ), officially the Republic of Trinidad and Tobago, is the southernmost island country in the Caribbean. Consisting of the main islands Trinidad and Tobago, and numerous much smaller islands, it is situated south of ...
, and
Uruguay
Uruguay (; ), officially the Oriental Republic of Uruguay ( es, República Oriental del Uruguay), is a country in South America. It shares borders with Argentina to its west and southwest and Brazil to its north and northeast; while bordering ...
.
* For
Social Security in the United States, the 35 highest years of earnings are used to calculate retirement benefits.
See also
*
List of highways numbered 35
The following highways are numbered 35:
International
* European route E35
Canada
* Alberta Highway 35
* British Columbia Highway 35
* Ontario Highway 35
* Quebec Autoroute 35
*Saskatchewan Highway 35
China
* G35 Expressway
Costa Rica
* ...
References
{{Integers, zero
Integers