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39 (number)

← 38 39 40 →
Cardinalthirty-nine
Ordinal39th
(thirty-ninth)
Factorization3 × 13
Divisors1, 3, 13, 39
Greek numeralΛΘ´
Roman numeralXXXIX
Binary1001112
Ternary11103
Quaternary2134
Quinary1245
Senary1036
Octal478
Duodecimal3312
Hexadecimal2716
Vigesimal1J20
Base 361336

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

In mathematics

The F26A graph has 39 edges, all equivalent.
  • Thirty-nine is the sum of 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.[1]
  • 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}.
  • 39 is the 12th distinct semiprime and the 4th in the {3.q} family. It is the last member of the third distinct biprime pair (38,39).
  • 39 has an aliquot sum of 17 which is a prime. 39 is the 4th member of the 17-aliquot tree. It is a perfect totient number.[2]
  • The thirteenth Perrin number is 39, which comes after 17, 22, 29 (it is the sum of the first two mentioned).[3]
  • Since the greatest prime factor of 392 + 1 = 1522 is 761, which is obviously more than 39 twice, 39 is a Størmer number.[4]
  • The F26A graph is a symmetric graph with 39 edges.

In science

Astronomy

In religion

In other fields

Arts and entertainment

History

Other

  • The code for international direct-dialed phone calls to Italy
  • Japanese slang:
    • Internet chat slang for "Thank You" when written with numbers (3=San 9=Kyuu)[citation needed]
  • 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.[5]
  • The bowling lane normally consists of 39 wooden boards

References

  1. ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  2. ^ "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  3. ^ "Sloane's A001608 : Perrin sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  4. ^ "Sloane's A005528 : Størmer numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  5. ^ "Loya jirga: Afghan elders reject 'pimp's number 39'". BBC News. 17 November 2011. Retrieved 3 May 2012.