74 (Number)

From Handwiki
Short description: Natural number
← 73 74 75 →
← 70 71 72 73 74 75 76 77 78 79 →
List of numbers — Integers
← 0 10 20 30 40 50 60 70 80 90 →
Cardinalseventy-four
Ordinal74th
(seventy-fourth)
Factorization2 × 37
Divisors1, 2, 37, 74
Greek numeralΟΔ´
Roman numeralLXXIV
Binary10010102
Ternary22023
Quaternary10224
Quinary2445
Senary2026
Octal1128
Duodecimal6212
Hexadecimal4A16
Vigesimal3E20
Base 362236

74 (seventy-four) is the natural number following 73 and preceding 75.

In mathematics

74 is:

  • the twenty-first distinct semiprime[1] and the eleventh of the form (2.q), where q is a higher prime.
  • with an aliquot sum of 40, within an aliquot sequence of three composite numbers (74,40,50,43,1,0) to the Prime in the 43-aliquot tree.
  • a palindromic number in bases 6 (2026) and 36 (2236).
  • a nontotient.[2]
  • the number of collections of subsets of {1, 2, 3} that are closed under union and intersection.[3]
  • φ(74) = φ(σ(74)).[4]

There are 74 different non-Hamiltonian polyhedra with a minimum number of vertices.[5]

In science

  • The atomic number of tungsten

In astronomy

  • Messier object M74, a magnitude 10.5 spiral galaxy in the constellation Pisces.
  • The New General Catalogue object NGC 74, a galaxy in the constellation Andromeda.

In music

  • Seventy-four, one of the Number Pieces by John Cage
  • "Seventy-Four", a song by the American band Bright from the album The Albatross Guest House

In other fields

See also: List of highways numbered 74

Seventy-four is also:

  • The year AD 74, 74 BC, or 1974
  • Designates the 7400 series of Integrated Chips. 74xx xx=00-4538
  • A seventy-four was a third-rate warship with 74 guns.
  • The registry of the U.S. Navy's nuclear aircraft carrier USS John C. Stennis (CVN-74), named after U.S. Senator John C. Stennis
  • A hurricane or typhoon is a system with sustained winds of at least 74 mph (64 knots).
  • The number of the French department Haute-Savoie
  • In the Bible it is the number of people that were in the presence of God on Mount Sinai and saw God without dying "Exodus 24:9-11"

References

  1. Sloane, N. J. A., ed. "Sequence A001358". OEIS Foundation. https://oeis.org/A001358. 
  2. "Sloane's A005277 : Nontotients". OEIS Foundation. https://oeis.org/A005277. 
  3. Sloane, N. J. A., ed. "Sequence A306445 (Number of collections of subsets of {1, 2, ..., n} that are closed under union and intersection)". OEIS Foundation. https://oeis.org/A306445. Retrieved 2022-05-22. 
  4. Sloane, N. J. A., ed. "Sequence A006872". OEIS Foundation. https://oeis.org/A006872. 
  5. "Sloane's A007033: Non-Hamiltonian polyhedra with n nodes.". OEIS Foundation. https://oeis.org/A007033. 



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