96 (number)

"Number 96" redirects here. For the Australian soap opera, see Number 96 (TV series). For the 1974 drama film, see Number 96 (film).

← 95 96 97 →
← 90 91 92 93 94 95 96 97 98 99 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
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

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: ${\displaystyle 10^{2}-2^{2}}$, ${\displaystyle 11^{2}-5^{2}}$, ${\displaystyle 14^{2}-10^{2}}$ or ${\displaystyle 25^{2}-23^{2}}$. ^[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 ${\displaystyle \chi =-96.}$

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

In geography

• 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

• 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

• 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 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

• List of highways numbered 96

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.). "SequenceA334078". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
6. Sloane, N. J. A. (ed.). "SequenceA000005(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.
7. Sloane, N. J. A. (ed.). "SequenceA067128(Ramanujan's largely composite numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.

External links

• On the number 96