46 (number)
Encyclopedia
46 is the natural number
following 45
and preceding 47
.
, an enneagonal number and a centered triangular number
. It is the sum of the totient function
for the first twelve integers. 46 is the largest even integer that can't be expressed as a sum of two abundant numbers.
46 is the 13th semiprime
. 46 is the third semiprime with a semiprime aliquot sum. The aliquot sequence
of 46 is (46,26,16,15,9,4,3,1,0).
Since it is possible to find sequences of 46 consecutive integers such that each inner member shares a factor with either the first or the last member, 46 is an Erdős–Woods number
.
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 45
45 (number)
45 is the natural number following 44 and followed by 46.- In mathematics :Forty-five is a triangular number, a hexagonal and 16-gonal number, a Kaprekar number, and a Harshad number....
and preceding 47
47 (number)
47 is the natural number following 46 and preceding 48.-In mathematics:Forty-seven is the fifteenth prime number, a safe prime, the thirteenth supersingular prime, and the sixth Lucas prime. Forty-seven is a highly cototient number...
.
In mathematics
Forty-six is a Wedderburn-Etherington numberWedderburn-Etherington number
In graph theory, the Wedderburn–Etherington numbers, named for Ivor Malcolm Haddon Etherington and Joseph Wedderburn, count how many weak binary trees can be constructed: that is, the number of trees for which each graph vertex is adjacent to no more than three other such vertices, for a...
, an enneagonal number and a centered triangular number
Centered triangular number
A centered triangular number is a centered figurate number that represents a triangle with a dot in the center and all other dots surrounding the center in successive triangular layers...
. It is the sum of the totient function
Euler's totient function
In number theory, the totient \varphi of a positive integer n is defined to be the number of positive integers less than or equal to n that are coprime to n In number theory, the totient \varphi(n) of a positive integer n is defined to be the number of positive integers less than or equal to n that...
for the first twelve integers. 46 is the largest even integer that can't be expressed as a sum of two abundant numbers.
46 is the 13th semiprime
Semiprime
In mathematics, a semiprime is a natural number that is the product of two prime numbers. The first few semiprimes are 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, ... ....
. 46 is the third semiprime with a semiprime aliquot sum. The aliquot sequence
Aliquot sequence
In mathematics, an aliquot sequence is a recursive sequence in which each term is the sum of the proper divisors of the previous term. The aliquot sequence starting with a positive integer k can be defined formally in terms of the sum-of-divisors function σ1 in the following way:For example, the...
of 46 is (46,26,16,15,9,4,3,1,0).
Since it is possible to find sequences of 46 consecutive integers such that each inner member shares a factor with either the first or the last member, 46 is an Erdős–Woods number
Erdos–Woods number
In number theory, an Erdős–Woods number is a positive integer that has the following property:Consider a sequence of consecutive positive integers [a, a+1, \dots, a+k]. The number k is an Erdős–Woods number if there exists such a sequence, beginning with some number a, in which each of the elements...
.
In science
- The atomic numberAtomic numberIn chemistry and physics, the atomic number is the number of protons found in the nucleus of an atom and therefore identical to the charge number of the nucleus. It is conventionally represented by the symbol Z. The atomic number uniquely identifies a chemical element...
of palladiumPalladiumPalladium is a chemical element with the chemical symbol Pd and an atomic number of 46. It is a rare and lustrous silvery-white metal discovered in 1803 by William Hyde Wollaston. He named it after the asteroid Pallas, which was itself named after the epithet of the Greek goddess Athena, acquired...
. - The number of humanHumanHumans are the only living species in the Homo genus...
chromosomes. - The (decimal) value of the ASCIIASCIIThe American Standard Code for Information Interchange is a character-encoding scheme based on the ordering of the English alphabet. ASCII codes represent text in computers, communications equipment, and other devices that use text...
code for the period (full stopFull stopA full stop is the punctuation mark commonly placed at the end of sentences. In American English, the term used for this punctuation is period. In the 21st century, it is often also called a dot by young people...
).
Astronomy
- Messier objectMessier objectThe Messier objects are a set of astronomical objects first listed by French astronomer Charles Messier in 1771. The original motivation of the catalogue was that Messier was a comet hunter, and was frustrated by objects which resembled but were not comets...
M46M46M46 or M-46 may refer to:* M46 Patton, an American main battle tank* Messier 46, an open star cluster in the constellation Puppis* Volvo M46 transmission, a four-speed transmission* M-46 , a state highway in Michigan...
, a magnitude 6.5 open clusterOpen clusterAn open cluster is a group of up to a few thousand stars that were formed from the same giant molecular cloud and have roughly the same age. More than 1,100 open clusters have been discovered within the Milky Way Galaxy, and many more are thought to exist...
in the constellationConstellationIn modern astronomy, a constellation is an internationally defined area of the celestial sphere. These areas are grouped around asterisms, patterns formed by prominent stars within apparent proximity to one another on Earth's night sky....
PuppisPuppisPuppis is a constellation in the southern sky. Its name is the Latin word for the poop deck of a ship, and Puppis represents the deck of the ship and its deckhouses...
.
- The New General CatalogueNew General CatalogueThe New General Catalogue of Nebulae and Clusters of Stars is a well-known catalogue of deep sky objects in astronomy. It contains 7,840 objects, known as the NGC objects...
object NGC 46, a starStarA star is a massive, luminous sphere of plasma held together by gravity. At the end of its lifetime, a star can also contain a proportion of degenerate matter. The nearest star to Earth is the Sun, which is the source of most of the energy on Earth...
in the constellation PiscesPisces (constellation)Pisces is a constellation of the zodiac. Its name is the Latin plural for fish, and its symbol is . It lies between Aquarius to the west and Aries to the east...
.
- The SarosSaros cycleThe saros is a period of 223 synodic months , that can be used to predict eclipses of the Sun and Moon. One saros after an eclipse, the Sun, Earth, and Moon return to approximately the same relative geometry, and a nearly identical eclipse will occur, in what is referred to as an eclipse cycle...
number of the solar eclipseSolar eclipseAs seen from the Earth, a solar eclipse occurs when the Moon passes between the Sun and the Earth, and the Moon fully or partially blocks the Sun as viewed from a location on Earth. This can happen only during a new moon, when the Sun and the Moon are in conjunction as seen from Earth. At least...
series which began on April 1, 1371 BC and ended on May 8, 91 BC. The duration of Saros series 46 was 1280.1 years, and it contained 72 solar eclipses.
- The SarosSaros cycleThe saros is a period of 223 synodic months , that can be used to predict eclipses of the Sun and Moon. One saros after an eclipse, the Sun, Earth, and Moon return to approximately the same relative geometry, and a nearly identical eclipse will occur, in what is referred to as an eclipse cycle...
number of the lunar eclipseLunar eclipseA lunar eclipse occurs when the Moon passes behind the Earth so that the Earth blocks the Sun's rays from striking the Moon. This can occur only when the Sun, Earth, and Moon are aligned exactly, or very closely so, with the Earth in the middle. Hence, a lunar eclipse can only occur the night of a...
series which began on July 19, 1358 BC and ended on October 8, 12. The duration of Saros series 46 was 1370.5 years, and it contained 77 lunar eclipses.
In sports
- Valentino RossiValentino RossiValentino Rossi, , is an Italian professional motorcycle racer and multiple MotoGP World Champion. He is one of the most successful motorcycle racers of all time, with nine Grand Prix World Championships to his name – seven of which are in the premier class.Following his father, Graziano Rossi,...
, one of the greatest motorcycle riders of all time, uses 46 as his number in the MotoGP motorcycle world championship, and has been using this number in homage to his father since he started racing as a youngster. - The number of mountains in the 46 peaks of the Adirondack mountain rangeAdirondack MountainsThe Adirondack Mountains are a mountain range located in the northeastern part of New York, that runs through Clinton, Essex, Franklin, Fulton, Hamilton, Herkimer, Lewis, Saint Lawrence, Saratoga, Warren, and Washington counties....
. People who have climbed all of them are called "forty-sixers"; there is also an unofficial 47th peak. - The name of a defensive scheme used in American footballAmerican footballAmerican football is a sport played between two teams of eleven with the objective of scoring points by advancing the ball into the opposing team's end zone. Known in the United States simply as football, it may also be referred to informally as gridiron football. The ball can be advanced by...
; see 46 defense46 defenseThe 46 defense is an American football defensive formation. The formation comprises four down linemen, three linebackers, and four defensive backs. The 46 defense was originally developed and popularized by Chicago Bears defensive coordinator Buddy Ryan, who later became head coach of the...
.
In religion
- The total of books in the Old TestamentOld TestamentThe Old Testament, of which Christians hold different views, is a Christian term for the religious writings of ancient Israel held sacred and inspired by Christians which overlaps with the 24-book canon of the Masoretic Text of Judaism...
, CatholicCatholicThe word catholic comes from the Greek phrase , meaning "on the whole," "according to the whole" or "in general", and is a combination of the Greek words meaning "about" and meaning "whole"...
version, if the Book of LamentationsBook of LamentationsThe Book of Lamentations ) is a poetic book of the Hebrew Bible composed by the Jewish prophet Jeremiah. It mourns the destruction of Jerusalem and the Holy Temple in the 6th Century BCE....
is counted as a book separate from the Book of JeremiahJeremiahJeremiah Hebrew：יִרְמְיָה , Modern Hebrew:Yirməyāhū, IPA: jirməˈjaːhu, Tiberian:Yirmĭyahu, Greek:Ἰερεμίας), meaning "Yahweh exalts", or called the "Weeping prophet" was one of the main prophets of the Hebrew Bible...
. - The number corresponding to the word "ADAM" where A=1, D=4, M=40 (on the analogy of the numeric values of letters in ancient alphabets, such as Hebrew and Greek).
In other fields
Forty-six is also:- The code for international direct dial phone calls to SwedenSwedenSweden , officially the Kingdom of Sweden , is a Nordic country on the Scandinavian Peninsula in Northern Europe. Sweden borders with Norway and Finland and is connected to Denmark by a bridge-tunnel across the Öresund....
. - The number of samurai, out of 47, who carried out the attack in the historical Ako vendettaForty-seven RoninThe revenge of the , also known as the Forty-seven Samurai, the Akō vendetta, or the took place in Japan at the start of the 18th century...
; sometimes referred to as the 46 Ronins to discount the one samurai forced to turn back. - In the title of the movie Code 46Code 46Code 46 is a 2003 British film directed by Michael Winterbottom, with screenplay by Frank Cottrell Boyce. It was produced by BBC Films and Revolution Films. It is a disquieting science fiction love story with themes that explore the moral impacts of advances in biotechnology. The soundtrack was...
, starring Tim RobbinsTim RobbinsTimothy Francis "Tim" Robbins is an American actor, screenwriter, director, producer, activist and musician. He is the former longtime partner of actress Susan Sarandon...
and Samantha MortonSamantha MortonSamantha Jane Morton is an English actress and film director. She began her performing career with guest roles in television shows such as Soldier Soldier and Boon before making her film debut in the 1997 drama film This Is the Sea, playing the character of Hazel Stokes...
. - Several routes numbered 46 exist throughout the world.
- 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.
- 46 is the number of the City Chevrolet and Superflo cars driven by Cole Trickle in the movie Days of ThunderDays of ThunderDays of Thunder is a 1990 American auto racing film released by Paramount Pictures, produced by Don Simpson and Jerry Bruckheimer and directed by Tony Scott. The cast includes Tom Cruise, Nicole Kidman, Robert Duvall, Randy Quaid, Cary Elwes and Michael Rooker. The film also features appearances...
. - The number of the French department Lot.
- 46 is the number that unlocks the Destiny spaceship on the popular Sci-Fi TV show Stargate Universe. Dr. Rush discovers that the number 46 relates to the amount of human chromosomes and begins sequencing different genetic codes to finally gain control of the ships operating system. The episode was called "Humans".