53 (number)

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← 52 53 54 →
Cardinal fifty-three
Ordinal 53rd
(fifty-third)
Factorization prime
Divisors 1, 53
Greek numeral ΝΓ´
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. It is the 16th prime number.

In mathematics[edit]

  • Fifty-three is the 16th prime number. It is also an Eisenstein prime, and a Sophie Germain prime.[1]
  • The sum of the first 53 primes is 5830, which is divisible by 53, a property shared by few other numbers.[2][3]
  • 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.[4]
  • 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]