74 (number)

Source: Wikipedia, the free encyclopedia.
← 73 74 75 →
Cardinalseventy-four
Ordinal74th
(seventy-fourth)
Factorization2 × 37
Divisors1, 2, 37, 74
Greek numeralΟΔ´
Roman numeralLXXIV
Binary10010102
Ternary22023
Senary2026
Octal1128
Duodecimal6212
Hexadecimal4A16

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
    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

In astronomy

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

Seventy-four is also:

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A306445 (Number of collections of subsets of {1, 2, ..., n} that are closed under union and intersection)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-22.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A006872". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ "Sloane's A007033: Non-Hamiltonian polyhedra with n nodes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2020-12-11.