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39 (number)

From Wikipedia, the free encyclopedia
"Thirty-nine" redirects here. For other uses, see39.
Natural number
← 3839 40 →
Cardinalthirty-nine
Ordinal39th
(thirty-ninth)
Factorization3 × 13
Divisors1, 3, 13, 39
Greek numeralΛΘ´
Roman numeralXXXIX,xxxix
Binary1001112
Ternary11103
Senary1036
Octal478
Duodecimal3312
Hexadecimal2716

39 (thirty-nine) is thenatural number following38 and preceding40.

In mathematics

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TheF26A graph has 39 edges, all equivalent.
  • 39 is the 12th distinctsemiprime[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 analiquot sum of17, which is a prime. 39 is the 4th member of the17-aliquot tree within analiquot sequence of one composite number (39,17,1,0) to the Prime in the17-aliquot tree.
  • It is aperfect totient number.[3]
  • 39 is the sum of five consecutiveprimes (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 of3 (31 + 32 + 33). Given 39, theMertens function returns0.[4]
  • 39 is the smallest natural number which has threepartitions into three parts which all give the same product when multiplied: {25, 8, 6}, {24, 10, 5}, {20, 15, 4}.

In other fields

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Arts and entertainment

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  • Japanese wordplay and slang:
    • Throughnumeric substitution, 39 is the Internet chat slang term for "Thank you" when written with numbers: 3 (三,san) and 9 (九,kyū).[7]
    • 39 has also been associated with the virtual singerHatsune Miku for the same reason: "san" (三,3) can also be read as "mi" (三),[8] and "kyuu" (九,9) can also be read as "ku" (九).[9] Thus, if using the alternative readings, 39 (三十九,sanjūkyū) can also be read as 39 (三九,miku).[10][11]

History

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References

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  1. ^Sloane, N. J. A. (ed.)."Sequence A001358".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^Sloane, N. J. A. (ed.)."Sequence A001748".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^"Sloane's A082897 : Perfect totient numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-31.
  4. ^"Sloane's A028442 : Numbers n such that Mertens' function is zero".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-31.
  5. ^"Sloane's A001608 : Perrin sequence".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-31.
  6. ^"Sloane's A005528 : Størmer numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-31.
  7. ^Specktor, Brandon (2 November 2017)."Here's Why the Number "39" Means "Thank You" in Japan".Reader's Digest. Retrieved23 March 2021.
  8. ^"Definition of 三".jisho.org. Retrieved24 March 2025.
  9. ^"Definition of 九".jisho.org. Retrieved24 March 2025.
  10. ^"3/9 Marks Happy "Miku" & "Zaku" Day In Japan, Fan Artists Mark The Occasion". Crunchyroll. Retrieved2024-08-15.
  11. ^"What's up with Miku and 39?".gamespot.com. Retrieved24 March 2025.
  12. ^"Loya jirga: Afghan elders reject 'pimp's number 39'".BBC News. 17 November 2011. Retrieved3 May 2012.
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