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53 (number)

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Title: 53 (number)  
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Subject: List of prime numbers, 54 (number), 52 (number), 50 (number), 51 (number)
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53 (number)

52 53 54
Cardinal fifty-three
Ordinal 53rd
(fifty-third)
Factorization prime
Divisors 1, 53
Roman numeral LIII
Binary 1101012
Ternary 12223
Quaternary 3114
Quinary 2035
Senary 1256
Octal 658
Duodecimal 4512
Hexadecimal 3516
Vigesimal 2D20
Base 36 1H36

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

Contents

  • In mathematics 1
  • In science 2
    • Astronomy 2.1
  • In other fields 3
  • Sports 4
  • References 5

In mathematics

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. Four multiples of 53 share this property: 371 = 17316, 5141 = 141516, 99481 = 1849916, and 8520280 = 82025816, and these are the only numbers that do.

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

Astronomy

In other fields

Fifty-three is:

A fan-built Herbie

Sports

References

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