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33 (number)

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

Cardinal 33
thirty-three
Ordinal 33rd
thirty-third
Factorization <math>3\cdot 11</math>
Divisors 1, 3, 11, 33
Roman numeral XXXIII
Binary 100001
Hexadecimal 21

Contents

In mathematics

33 is the largest positive integer that can not 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 biprime comprising the prime factors (3.11). Its aliquot sum is 15; itself a discrete biprime (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) The sum of the first four factorials is 33. Adding up the sums of divisors for the 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 biprimes (33,34,35); the next such cluster is (85,86,87).

In science

Astronomy

In religion

In sports

In other fields

Thirty-three is:

Historical years

33 A.D., 33 B.C., 1933, 2033, etc.

References

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33 (number) from Wíkipedia. ©2006 by Wíkipedia. Licensed under the GNU Free Documentation License. View a list of authors or edit this article.

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