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96 (number)

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← 95 96 97 →
List of numbers — Integers
Cardinalninety-six
Ordinal96th
(ninety-sixth)
Factorization25 × 3
Divisors1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Greek numeralϞϚ´
Roman numeralXCVI
Binary11000002
Ternary101203
Octal1408
Duodecimal8012
Hexadecimal6016

96 (ninety-six) is the natural number following 95 and preceding 97. It is a number that, when turned upside down, is still itself. Some other numbers that equal themselves include 69, 0, 88, and in some cases, 1 and 11

In mathematics

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 divisors is > 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.
  • 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]

Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.

In geography

  • Ninety Six, South Carolina
  • Ninety Six District, a historical judicial and military district of colonial America which extended through North and South Carolina
  • Ninety Six National Historic Site, in Ninety Six, South Carolina, derives its name from the original settlement's distance in miles from a Cherokee village in the Blue Ridge Mountains

In music

In science

  • 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

  • An Australian soap opera, 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 (Manhattan)
  • A warrior caste divided into 96 clans, Maratha
  • 96 was the number of deaths in the Hillsborough Disaster in Sheffield, England
  • An Indian movie, '96 (film)

See also

References

  1. ^ "Sloane's A000567 : Octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. ^ "Sloane's A033950 : Refactorable numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  3. ^ "Sloane's A005114 : Untouchable numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  4. ^ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

External links

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