44 (number)

← 43 44 45 →
← 40 41 42 43 44 45 46 47 48 49 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	forty-four
Ordinal	44th (forty-fourth)
Factorization	22 × 11
Divisors	1, 2, 4, 11, 22, 44
Greek numeral	ΜΔ´
Roman numeral	XLIV
Binary	1011002
Ternary	11223
Senary	1126
Octal	548
Duodecimal	3812
Hexadecimal	2C16

44 (forty-four) is the natural number following 43 and preceding 45.

In mathematics

Forty-four is a repdigit and palindromic number in decimal. It is the tenth 10-happy number, ^[1] and the fourth octahedral number. ^[2]

It is a square-prime of the form p² × q, and fourth of this form and of the form 2² × q, where q is a higher prime.

It is the first member of the first cluster of two square-primes; of the form p² × q, specifically 2² × 11 = 44 and 3² × 5 = 45. The next such cluster of two square-primes comprises 2² × 29 = 116, and 3² × 13 = 117.

44 has an aliquot sum of 40, within an aliquot sequence of three composite numbers (44, 40, 50, 43, 1, 0) rooted in the prime 43-aliquot tree.

Since the greatest prime factor of 44² + 1 = 1937 is 149 and thus more than 44 twice, 44 is a Størmer number. ^[3] Given Euler's totient function, φ(44) = 20 and φ(69) = 44.

44 is a tribonacci number, preceded by 7, 13, and 24, whose sum it equals. ^[4]

44 is the number of derangements of 5 items. ^[5]

There are only 44 kinds of Schwarz triangles, aside from the infinite dihedral family of triangles (p 2 2) with p = {2, 3, 4, ...}. ^[6]

There are 44 distinct stellations of the truncated cube and truncated octahedron, per Miller's rules. ^[7]

44 four-dimensional crystallographic point groups of a total 227 contain dual enantiomorphs, or mirror images. ^[8]

There are forty-four classes of finite simple groups that arise from four general families of such groups:

• Two general groups stem from cyclic groups and alternating groups.
• Sixteen families of groups stem from simple groups of Lie type.
• Twenty-six groups are sporadic.

Sometimes the Tits group is considered a 17th non-strict simple group of Lie type, or a 27th sporadic group, which would yield a total of 45 classes of finite simple groups.

In science

• The atomic number of ruthenium

Astronomy

• Messier object M44, a magnitude 4.0 open cluster in the constellation Cancer, also known as the Beehive Cluster
• The New General Catalogue object NGC 44, a double star in the constellation Andromeda

In technology

• +44 is the ITU country code for international direct dial telephone calls to the United Kingdom
• The .44 Magnum or .44 Special revolver cartridges

In other fields

Forty-four is:

• The total number of candles lit on the menorah during the Jewish holiday of Chanukah, which starts on the 25th day of the Hebrew month of Kislev and ends on the 2nd or the 3rd day of Tevet.
• The number of candles in a box of Hanukkah candles.
• The name of a mysterious savior of Poland prophesied by the Polish national poet Adam Mickiewicz in his masterpiece dramatic poem Dziady (Forefathers): In scene 5 of act 3, the priest Piotr announces a "reviver of the nation" who is to bring back the lost freedom of Poland, and describes him with these words:

Born from a foreign mother, his blood of ancient heroes,

And his name will be forty and four.

• A poker game in which each player is dealt four cards down, and four cards are dealt face down on the table in a row. The first three cards on the table are "community" cards and may be used in any player's hand. The fourth card and any card matching it in rank is wild, and can also be used in a hand (each player is guaranteed one wild card). For each of four rounds, one "community" card is flipped up and a round of betting occurs. After the last round, the winner is the person with the highest poker hand.
• +44 is the name of the band including Blink-182 vocalist/bassist Mark Hoppus and Blink-182 drummer Travis Barker.
• In the song "44 Fours" by Jay-Z, he rhymes the words four, for and fore 44 times. This song is a follow-up from the song "22 Two's".
• Vicks Formula 44 is a cough suppressant. ^[9]
• The number of the French department Loire-Atlantique
• A blues song, "Forty-Four", also known as "44 Blues"
• "44 Minutes" is a song by heavy metal band Megadeth ^[10]
• Mark Twain's The Mysterious Stranger features Satan's supposed nephew, whose alternate name in parallel works is "44".
• An agent in the American television series Get Smart goes under the title of 44, usually assigned to small, enclosed, unexpected spots, to meet Maxwell Smart, agent 86.
• Number 44 (Russian : Номер 44) is the Russian localized title for a 2015 American-British mystery thriller film Child 44 .
• In an operation to capture Zulkifli Abdhir and Abdul Basit Usman, 44 of the Philippine National Police Special Action Force died during the Mamasapano clash. They were later dubbed as The Fallen 44 or SAF 44.
• Former Portuguese prime-minister José Sócrates is known as "Prisoner 44". ^{[11] [12]}
• In the song "44 Bars" by Logic, his verse is exactly 44 bars long.
• A song by The Residents. In "44", included in The Resident's Live at the Fillmore album, the number 44 is a main focus.
• Seven-time Formula One world champion Lewis Hamilton has used the number 44 as his racing number since 2014.
• 44 Cats , an Italian animated children's television series, which was inspired by a song of the same name.

Historical years

AD 44 , 44 BC, 1944, etc.

See also

• +44
• List of highways numbered 44

References

1. "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
2. "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
3. "Sloane's A005528 : Størmer numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
4. "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
5. "Sloane's A000166 : Subfactorial or rencontres numbers, or derangements". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
6. Messer, Peter W. (2002). "Closed-Form Expressions for Uniform Polyhedra and Their Duals" (PDF). Discrete & Computational Geometry . 27 (3). Springer: 353–355, 372–373. doi: 10.1007/s00454-001-0078-2 . MR   1921559. S2CID   206996937. Zbl   1003.52006.
7. Webb, Robert. "Enumeration of Stellations". www.software3d.com. Archived from the original on 2022-11-26. Retrieved 2022-11-25.
8. Souvignier, Bernd (2003). "Enantiomorphism of crystallographic groups in higher dimensions with results in dimensions up to 6". Acta Crystallographica Section A . 59 (3): 217. doi:10.1107/s0108767303004161. PMID   12714771. S2CID   26198482. Zbl   1370.20045.
9. "Vicks Formula 44 oral: Uses, Side Effects, Interactions, Pictures, Warnings & Dosing - WebMD". www.webmd.com. Retrieved 2021-04-11.
10. "The 15 Best Megadeth Songs: Critic's Picks". Billboard. Retrieved 2021-04-11.
11. "O martírio do preso número 44". Jornal Observador (in Portuguese). Retrieved 2017-01-15.
12. "José Sócrates é o recluso 44". Jornal Expresso (in European Portuguese). Retrieved 2021-04-11.