53 (number)

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525354
Cardinalfifty-three
Ordinal53rd
(fifty-third)
Factorizationprime
Divisors1, 53
Roman numeralLIII
Binary1101012
Ternary12223
Quaternary3114
Quinary2035
Senary1256
Octal658
Duodecimal4512
Hexadecimal3516
Vigesimal2D20
Base 361H36
 
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525354
Cardinalfifty-three
Ordinal53rd
(fifty-third)
Factorizationprime
Divisors1, 53
Roman numeralLIII
Binary1101012
Ternary12223
Quaternary3114
Quinary2035
Senary1256
Octal658
Duodecimal4512
Hexadecimal3516
Vigesimal2D20
Base 361H36

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

In mathematics[edit]

Fifty-three is the 16th prime number. It is also an Eisenstein prime, and a Sophie Germain prime.

The sum of the first 53 primes is 5830, which is divisible by 53, a property shared by few other numbers.[1][2]

53 written in hexadecimal is 35, that is, the same characters used in the decimal representation, but reversed. At least four multiples of 53 share this property: 371 = 17316, 5141 = 141516, 99481 =1849916, and 8520280 = 82025816.

53 cannot be expressed as the sum of any integer and its base-10 digits, making 53 a self number.

53 is the smallest prime number that does not divide the order of any sporadic group.

In science[edit]

Astronomy[edit]

In other fields[edit]

Fifty-three is:

A fan-built Herbie

Sports[edit]

References[edit]

  1. ^ (sequence A045345 in OEIS)
  2. ^ Puzzle 31.- The Average Prime number, APN(k) = S(Pk)/k from The Prime Puzzles & Problems Connection website