96 (number)
Appearance
| ||||
---|---|---|---|---|
Cardinal | ninety-six | |||
Ordinal | 96th (ninety-sixth) | |||
Factorization | 25 × 3 | |||
Divisors | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 | |||
Greek numeral | ϞϚ´ | |||
Roman numeral | XCVI | |||
Binary | 11000002 | |||
Ternary | 101203 | |||
Senary | 2406 | |||
Octal | 1408 | |||
Duodecimal | 8012 | |||
Hexadecimal | 6016 |
96 (ninety-six) is the natural number following 95 and preceding 97. It is a number that appears the same when turned upside down.
In mathematics
[edit]96 is:
- an octagonal number.[1]
- a refactorable number.[2]
- an untouchable number.[3]
- a semiperfect number since it is a multiple of 6.
- an abundant number since the sum of its proper divisors is greater than 96.
- the fourth Granville number and the second non-perfect Granville number. The next Granville number is 126, the previous being 24.
- the sum of Euler's totient function φ(x) over the first seventeen integers.
- strobogrammatic in bases 10 (9610), 11 (8811) and 95 (1195).
- palindromic in bases 11 (8811), 15 (6615), 23 (4423), 31 (3331), 47 (2247) and 95 (1195).
- an Erdős–Woods number, since it is possible to find sequences of 96 consecutive integers such that each inner member shares a factor with either the first or the last member.[4]
- divisible by the number of prime numbers (24) below 96.
- the smallest natural number that can be expressed as the difference of two nonzero squares in more than three ways: , , or .[5]
The number of divisors of 96 is 12.[6] As no smaller number has more than 12 divisors, 96 is a largely composite number.[7]
Skilling's figure, a degenerate uniform polyhedron, has a Euler characteristic
Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.
In geography
[edit]- Ninety Six, South Carolina, a town in South Carolina
- Ninety-Six District, South Carolina, a historical judicial and military district of colonial America which extended through North and South Carolina
- Ninety Six National Historic Site, near Ninety Six, South Carolina
In music
[edit]- The song "96 Tears" by garage rock band Question Mark and the Mysterians
- "96", a song by Uverworld, a Japanese band.
- "96 Quite Bitter Beings", a song recorded by rock band CKY
- "96 Degrees In The Shade", a song on an album with the same title (official song title "1865", recorded by Jamaican reggae band Third World.
In science
[edit]- The atomic number of curium, an actinide.
- Messier 96, a magnitude 10.5 spiral galaxy in the constellation Leo
- The New General Catalogue object NGC 96, a spiral galaxy in the constellation Andromeda
In other fields
[edit]- An Australian TV soap opera, Number 96 (broadcast 1972–1977)
- A 1974 film based on the TV series, Number 96
- Class of '96 was a short-lived Fox drama series which aired in 1993
- 96 dpi, the standard resolution of the monitor of an IBM-compatible computer running Microsoft Windows
- The number of surat Al-Alaq in the Qur'an
- According to Gurdjieff's Fourth Way symbolism, the number of the Moon level
- The 96th United States Congress met January 1979 to January 1981 during the last two years of President Jimmy Carter's administration
- The 96th Infantry Division (United States) was a unit of the United States Army in World War II
- German submarine U-96, a German U-boat during World War II and subject of the film Das Boot
- The Saab 96 car produced from 1960 to 1966
- STS-96, Space Shuttle Discovery mission launched May 27, 1999
- Mars 96 was a Russian orbiter launched in 1996
- The designation of American Interstate 96, a freeway in Michigan
- U.S. Route 96 is a north–south route in Texas
- Four New York City Subway stops along 96th Street in Manhattan:
- 96th Street (IRT Broadway – Seventh Avenue Line), serving the 1, 2, and 3 trains
- 96th Street (IND Eighth Avenue Line), serving the A, B, and C trains
- 96th Street (IRT Lexington Avenue Line), serving the 4, 6, and <6> trains
- 96th Street (IND Second Avenue Line); under construction
- 96th Street (Manhattan)
- A warrior caste divided into 96 clans, Maratha
- An Indian movie, '96 (film)
See also
[edit]References
[edit]- ^ "Sloane's A000567 : Octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ "Sloane's A033950 : Refactorable numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ "Sloane's A005114 : Untouchable numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ Sloane, N. J. A. (ed.). "Sequence A334078". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000005 (d(n) (also called tau(n) or sigma_0(n)), the number of divisors of n.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A067128 (Ramanujan's largely composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
External links
[edit]Wikimedia Commons has media related to 96 (number).