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74 (number)

From 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

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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

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In astronomy

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In music

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In other fields

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Seventy-four is also:

"Exodus 24:9-11"

References

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  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.