33 (number)

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← 32 33 34 →
Cardinalthirty-three
Ordinalrd
Factorization
Divisors1, 3, 11, 33
Greek numeralΛΓ´
Roman numeralXXXIII
Binary1000012
Ternary10203
Quaternary2014
Quinary1135
Senary536
Octal418
Duodecimal2912
Hexadecimal2116
Vigesimal1D20
Base 36X36

33 (thirty-three) is the natural number following 32 and preceding 34.


In mathematics

33 is the largest positive integer that cannot be expressed as a sum of different triangular numbers. It is also the smallest odd repdigit that's not prime (unless we consider 1-digit integers to also be repdigits).

33 is the eighth distinct semiprime comprising the prime factors (3 • 11). Its aliquot sum is 15; itself a discrete semiprime (3 • 5) in the following Aliquot sequence 33,15,9,4,3,1,0. (Note 33 is the 8th composite number to descend into the prime number 3, the others outside of this sequence being 30,26,16,12) Since 33 is a semiprime with both its prime factors being Gaussian primes, 33 is a Blum integer.

The sum of the first four positive factorials is 33. Adding up the sums of divisors of 1 through 6 yields 33. 33 is the smallest integer such that it and the next two integers all have the same number of divisors.

It is also the first member of the first cluster of three semiprimes (33,34,35); the next such cluster is (85,86,87).

Since the greatest prime factor of 332 + 1 = 1090 is 109, which is obviously more than 33 twice, 33 is a Størmer number.

In science

  • The atomic number of arsenic
  • A normal human spine has 33 vertebrae when the bones that form the coccyx are counted individually
  • 33 is according to the Newton scale, the temperature when water boils.

Astronomy

In religion

In sports

The number of innings played in the longest baseball game in history (a 1981 minor league game between the Rochester Red Wings and the Pawtucket Red Sox in Pawtucket, Rhode Island).

In other fields

Thirty-three is:

  • In reference to gramophone records, 33 refers to a type of record by its revolution speed of 33⅓ revolutions per minute. 33s are also known as long playing records, or LPs. See: 78 and 45
  • A significant number in modern numerology, one of the master numbers along with 11 and 22
  • A song by The Smashing Pumpkins on their album, Mellon Collie and the Infinite Sadness. Also a song by Coheed and Cambria on their album, The Second Stage Turbine Blade (the songs are not related)
  • The title of the first episode of the new Battlestar Galactica television series
  • The 33 Strategies of War is a book by Robert Greene
  • 33 is the coming of age of a hobbit in J. R. R. Tolkien's The Lord of the Rings
  • In French, Italian, Romanian, Spanish and Portuguese, the word a patient is usually asked to say when a doctor is listening to his or her lungs with a stethoscope (Trente-Trois, Trentatrè, Treizeci şi trei, Treinta y Tres and Trinta e Três)
  • The code for international direct-dial phone calls to France
  • A normal human spine has 33 vertebrae when the bones that form the coccyx are counted individually
  • The number printed on all Rolling Rock beer labels
  • The namesake of the private club, Club 33, located in Disneyland's New Orleans Square.
  • The Scottish Rite of Freemasonry has 33 degrees.
  • 33 is one of the symbols of Ku Klux Klan. (K is the 11. alphabet, 3 times 11 is 33, KKK)
  • Number of victims, including the suspect, that were all killed in the Virginia Tech Massacre, April 16, 2007.
  • 33 were Uruguay's national Independence Heroes that liberate the country in 1825 from the Brazilian Empire, they are popularly known as "Treinta y Tres Orientales" (The Thirty-Three Orientals), one of Uruguay's national states and its capital city is named " Treinta y Tres" after them.
  • A religious image of the Virgin Mary from the XVIII Century is known in Uruguay as "Virgen de los Treinta y Tres" (Virgin of the Thity-Three) consecrated by Pope John Paul II in his visit to Uruguay in 1988.
  • 2008 is the first time in 33 years that the United States has sent a satellite to explore and orbit Mercury (January 15, 2008)
  • Progressive Metal band Meshuggah released their album "Catch 33" in the year 2005.
  • In 2008, musician Teddy Geiger gives clues to fans about his new single, "march" which dropped March 3, or "33". In late May he announced 33 brand new songs that his fans could choose from to create their own album, called TG33.
  • '33' (three-three) is a Nigerian produced brand of beer.
  • N.A.S.A's Pathfinder landed on Mars, location 19.5° N by 33.3° W, on July 4, 1997.
  • The number of the French department Gironde
  • Beethoven's Op.120 consists of 33 variations on a waltz by Anton Diabelli
  • Dante wrote the Divine Comedy in 3 canticas - each consisting of 33 cantos.
  • United Nations symbol has 33 segments.
  • 33 years since Manchester City have won a major trophy in English Football
  • Jersey of Number 33 Kevin Faulk from the New England Patriots.

Jersey number of Kobe Bryant in high school

Historical years

33 A.D., 33 B.C., 1933

References

  1. ^ de Vries, Ad (1976). Dictionary of Symbols and Imagery. Amsterdam: North-Holland Publishing Company. p. 462. ISBN 0-7204-8021-3.
  2. ^ Imam Gazzali's Ihya ulum-id-din, Volume 4
  3. ^ http://www.nba.com/celtics/history/RetiredNumbers.html