39 (number)

← 38 39 40 →
Cardinalthirty-nine
Ordinal39th
(thirty-ninth)
Factorization3 × 13
Divisors1, 3, 13, 39
Greek numeralΛΘ´
Roman numeralXXXIX
Binary1001112
Ternary11103
Senary1036
Octal478
Duodecimal3312
Hexadecimal2716

39 (thirty-nine) is the natural number following 38 and preceding 40.

In mathematics

The F26A graph has 39 edges, all equivalent.
  • 39 is the 12th distinct semiprime[1] and the 4th in the (3.q) family.[2] It is the last member of the third distinct semiprime pair (38,39).
  • 39 has an aliquot sum of 17, which is a prime. 39 is the 4th member of the 17-aliquot tree within an aliquot sequence of one composite numbers (39,17,1,0) to the Prime in the 17-aliquot tree.
  • It is a perfect totient number.[3] *39 is the sum of five consecutive primes (3 + 5 + 7 + 11 + 13) and also is the product of the first and the last of those consecutive primes. Among small semiprimes only three other integers (10, 155, and 371) share this attribute. 39 also is the sum of the first three powers of 3 (31 + 32 + 33). Given 39, the Mertens function returns 0.[4]
  • 39 is the smallest natural number which has three partitions into three parts which all give the same product when multiplied: {25, 8, 6}, {24, 10, 5}, {20, 15, 4}.

In science

Astronomy

In religion

In other fields

Arts and entertainment

History

  • The number of signers to the United States Constitution, out of 55 members of the Philadelphia Convention delegates
  • The traditional number of times citizens of Ancient Rome hit their slaves when beating them, referred to as "Forty save one"
  • The duration, in nanoseconds, of the nuclear reaction in the largest nuclear explosion ever performed (Tsar Bomba)
  • The number of Scud missiles which Iraq fired at Israel during the Gulf War in 1991
  • The code for international direct-dialed phone calls to Italy
  • Pier 39 in San Francisco
  • The number of the French department Jura
  • In Afghanistan, the number 39 is considered unlucky, due to the belief that it is associated with pimps. See Curse of 39.[8]
  • The bowling lane normally consists of 39 wooden boards

See also

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A001748". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  4. ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  5. ^ "Sloane's A001608 : Perrin sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  6. ^ "Sloane's A005528 : Størmer numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  7. ^ Specktor, Brandon (2 November 2017). "Here's Why the Number "39" Means "Thank You" in Japan". Reader's Digest. Retrieved 23 March 2021.
  8. ^ "Loya jirga: Afghan elders reject 'pimp's number 39'". BBC News. 17 November 2011. Retrieved 3 May 2012.
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