46 (number)
Template:Redirect Template:Infobox number 46 (forty-six) is the natural number following 45 and preceding 47.
In mathematicsEdit
Forty-six is
- thirteenth discrete semiprime (<math>2 \times 23</math>) and the eighth of the form (2.q), where q is a higher prime,
- with an aliquot sum of 26; a semiprime, in an aliquot sequence of six composite numbers (46, 26,16, 15, 9, 4, 3, 1, 0) in the prime 3-aliquot tree,
- a Wedderburn-Etherington number,<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- the second non-trivial enneagonal number, after 24,<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- a centered triangular number,<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
- the number of parallelogram polyominoes with 6 cells.<ref>Template:Cite OEIS</ref>
- the amount of prime numbers in between 1 and 200.
It is the sum of the totient function for the first twelve integers.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> 46 is the largest even integer that cannot be expressed as a sum of two abundant numbers. It is also the sixteenth semiprime.<ref>(sequence A001358 in the OEIS)</ref>
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.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>
The friendly giant <math>\mathbb {F_1}</math>, the largest of twenty-six sporadic groups, holds a total of forty-six maximal subgroups.Template:Efn
In sportsEdit
- 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.<ref>{{#invoke:citation/CS1|citation
|CitationClass=web }}</ref>
In other fieldsEdit
.svg){kind=link}
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, 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).
- Joe Biden is the 46th President of the United States.