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 (
) 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 , 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