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53 (number)

Natural number From Wikipedia, the free encyclopedia

53 (fifty-three) is the natural number following 52 and preceding 54.

Cardinalfifty-three
Ordinal53rd
(fifty-third)
Prime16th
Quick facts ← 52 53 54 →, Cardinal ...
52 53 54
Cardinalfifty-three
Ordinal53rd
(fifty-third)
Factorizationprime
Prime16th
Divisors1, 53
Greek numeralΝΓ´
Roman numeralLIII, liii
Binary1101012
Ternary12223
Senary1256
Octal658
Duodecimal4512
Hexadecimal3516
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In mathematics

53 is a balanced prime, an isolated prime, the eighth Sophie Germain prime,[1] and the ninth Eisenstein prime.[2] It is a sexy prime with 47 and 59.

53 is the smallest prime number that does not divide the order of any sporadic group, inclusive of the six pariahs; it is also the first prime number that is not a member of Bhargava's prime-universality criterion theorem (followed by the next prime number 59), an integer-matrix quadratic form that represents all prime numbers when it represents the sequence of seventeen integers {2, ..., 47, 67, 73}.[3]

53 is the smallest prime number with primitive roots 2, 3, and 5.[4]

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