74 (number)

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

73 74 75
Cardinalseventy-four
Ordinal74th
(seventy-fourth)
Factorization2 × 37
Divisors1, 2, 37, 74
Greek numeralΟΔ´
Roman numeralLXXIV
Binary10010102
Ternary22023
Senary2026
Octal1128
Duodecimal6212
Hexadecimal4A16

In mathematics

74 is:

  • the twenty-first distinct semiprime and the eleventh of the form 2×q.
  • a palindromic number in bases 6 (2026) and 36 (2236).
  • a nontotient.[1]
  • the number of collections of subsets of {1, 2, 3} that are closed under union and intersection.[2]
  • φ(74) = φ(σ(74)).[3]

There are 74 different non-Hamiltonian polyhedra with a minimum number of vertices.[4]

In science

In astronomy

In music

In other fields

Seventy-four is also:

References

  1. "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  2. 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.
  3. Sloane, N. J. A. (ed.). "Sequence A006872". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. "Sloane's A007033: Non-Hamiltonian polyhedra with n nodes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2020-12-11.
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