# 33 (number)

(Redirected from XXXIII)
 ← 32 33 34 →
Cardinalthirty-three
Ordinal33rd
(thirty-third)
Factorization3 × 11
Divisors1, 3, 11, 33
Greek numeralΛΓ´
Roman numeralXXXIII
Binary1000012
Ternary10203
Quaternary2014
Quinary1135
Senary536
Octal418
Duodecimal2912
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.
• the smallest odd repdigit that is not a prime number.
• the sum of the first four positive factorials.
• the sum of the sum of the divisors of the first 6 positive integers.
• equal to the sum of the squares of the digits of its own square in bases 9, 16 and 31.
For numbers greater than 1, this is a rare property to have in more than 1 base.
• the smallest integer such that it and the next two integers all have the same number of divisors.
• the first member of the first cluster of three semiprimes (33, 34, 35); the next such cluster is 85, 86, 87.
• the smallest diophantine number which has yet to be represented in the form a³ + b³ + c³, where a, b and c are integers.

## 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 at which water boils.

## In sports

• The Big 33 Football Classic is an annual postseason high school football all-star game that features top players from Pennsylvania. In recent years, the opposition has been an all-star team from Ohio. The number 33 represents the original number of players on each squad (now 34).
• FIBA 33 is the original name of the basketball variant now known as 3x3. It is a formalized version of half-court three-on-three basketball currently being heavily promoted by the sport's international governing body, FIBA. Under the original rules of FIBA 33, the game ended by rule once either team scored at least 33 points, with scoring following traditional basketball rules. 3x3 uses a substantially different scoring system.

## In other fields

Thirty-three is:

• A significant number in modern numerology, one of the master numbers along with 11 and 22.
• The number printed on all Rolling Rock beer labels.
• Pabst Blue Ribbon Beer used to be advertised as "Blended 33 to 1".
• The namesake of the private club, Club 33, located in Disneyland's New Orleans Square.
• The number of workers trapped, all of whom were rescued, during the 2010 Copiapó mining accident.
• One of the symbols of Ku Klux Klan. (K is the 11th letter of the alphabet; 3 times 11 is 33, KKK).
• The 33 Orientales were a group of Uruguay's national Independence Heroes that liberate the country in 1825 from the Brazilian Empire, the name is due for the leaders all 33 Degree Masons (The Thirty-Three Orientals), one of Uruguay's national states and its capital city is named "Treinta y Tres" after them
• The number 33 was discovered to lead to the essential meaning of life (the Bible) in Dan Brown's 2009 novel The Lost Symbol.
• +33 is the code for international direct-dial phone calls to France.

## References

1. ^ Insights #517, October 8, 2010.
2. ^ de Vries, Ad (1976). Dictionary of Symbols and Imagery. Amsterdam: North-Holland Publishing Company. p. 462. ISBN 0-7204-8021-3.
3. ^ Ghazzālī; Karim, Fazlul. "Imam Gazzali's Ihya Ulum-id-din: pt. 1 and 2. The book of constructive virtues". Sind Sagar Academy. Retrieved 21 March 2018 – via Google Books.