96 (number)

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Number 96
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← 95 96 97 →
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
Senary2406
Octal1408
Duodecimal8012
Hexadecimal6016

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

96 as the difference of two squares (in orange).

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]

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

In music

In science

In other fields

  • 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
  • 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.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A334078". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

External links