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46 (forty-six) is the
natural number In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following 45 and preceding 47.


In mathematics

Forty-six is * thirteenth discrete semiprime (2 \times 23) and the eighth of the form (2.q), where q is a higher prime, * with an
aliquot sum In number theory, the aliquot sum of a positive integer is the sum of all proper divisors of , that is, all divisors of other than itself. That is, s(n)=\sum_ d \, . It can be used to characterize the prime numbers, perfect numbers, sociabl ...
of 26; a semiprime, in an
aliquot sequence In mathematics, an aliquot sequence is a sequence of positive integers in which each term is the sum of the proper divisors of the previous term. If the sequence reaches the number 1, it ends, since the sum of the proper divisors of 1 is 0. Def ...
of six composite numbers (46, 26, 16, 15, 9, 4, 3, 1, 0) in the prime 3-aliquot tree, * a Wedderburn-Etherington number, * the second non-trivial enneagonal number, after 24, * a centered triangular number, * the number of parallelogram polyominoes with 6 cells. * the amount of prime numbers in between 1 and 200. It is the sum of the totient function for the first twelve integers. 46 is the largest even integer that cannot be expressed as a sum of two
abundant number In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total ...
s. It is also the sixteenth semiprime. Since it is possible to find sequences of 46+1 consecutive integers such that each inner member shares a factor with either the first or the last member, 46 is an Erdős–Woods number. The friendly giant \mathbb , the largest of twenty-six sporadic groups, holds a total of forty-six
maximal subgroup In mathematics, the term maximal subgroup is used to mean slightly different things in different areas of algebra. In group theory, a maximal subgroup ''H'' of a group ''G'' is a proper subgroup, such that no proper subgroup ''K'' contains ''H'' ...
s.


In sports

* The number of mountains in the '' 46 peaks'' of the Adirondack mountain range. People who have climbed all of them are called " forty-sixers"; there is also an unofficial 47th peak.


In other fields

Forty-six is also: * Because 46 in Japanese can be pronounced as "yon roku", and "yoroshiku" (よろしく) means "my best regards" in Japanese, people sometimes use 46 for greeting. * The first
Flag of Oklahoma The flag of the U.S. state of Oklahoma, also known as the Oklahoma flag, is a rectangular Glossary of vexillology, field of sky blue on which is placed an Osage Nation, Osage war shield with six crosses and seven pendant eagle feathers above th ...
, adopted by the state in 1911, had the number 46 written in blue inside the star, as Oklahoma was the forty-sixth state to join the Union (the
United States The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
). *
Joe Biden Joseph Robinette Biden Jr. (born November 20, 1942) is an American politician who was the 46th president of the United States from 2021 to 2025. A member of the Democratic Party (United States), Democratic Party, he served as the 47th vice p ...
is the 46th
President of the United States The president of the United States (POTUS) is the head of state and head of government of the United States. The president directs the Federal government of the United States#Executive branch, executive branch of the Federal government of t ...
.


Notes


References

{{Integers, zero Integers