53 (number)

From Wikipedia, the free encyclopedia
← 52 53 54 →
← 50 51 52 53 54 55 56 57 58 59 →
List of numbers — Integers
← 0 10 20 30 40 50 60 70 80 90 →
Cardinalfifty-three
Ordinal53rd
(fifty-third)
Factorizationprime
Prime16th
Divisors1, 53
Greek numeralΝΓ´
Roman numeralLIII
Binary1101012
Ternary12223
Octal658
Duodecimal4512
Hexadecimal3516

53 (fifty-three) is the natural number following 52 and preceding 54. It is the 16th prime number.

In mathematics[]

  • 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 only a few other numbers.[2][3]
  • 53 written in hexadecimal is 35, that is, the same characters used in the decimal representation, but reversed. Four additional multiples of 53 share this property: 371 = 17316, 5141 = 141516, 99481 = 1849916, and 8520280 = 082025816. Apart from the trivial case of single-digit decimals, no other number has this property.[4]
  • 53 cannot be expressed as the sum of any integer and its base-10 digits, making 53 a self number.[5]
  • 53 is the smallest prime number that does not divide the order of any sporadic group.

In science[]

  • The atomic number of iodine

Astronomy[]

  • Messier object M53, a magnitude 8.5 globular cluster in the constellation Coma Berenices
  • The New General Catalogue object NGC 53, a magnitude 12.6 barred spiral galaxy in the constellation Tucana

In other fields[]

Fifty-three is:

Herbie film car used in the 1977 Disney film Herbie Goes to Monte Carlo
  • The racing number of Herbie, a fictional Volkswagen Beetle with a mind of his own, first appearing in the 1968 film The Love Bug
  • The code for international direct dial phone calls to Cuba
  • 53 Days is a northeastern USA rock band
  • 53 Days a novel by Georges Perec
  • In How the Grinch Stole Christmas!, and its animated TV special adaptation the Grinch says he's put up with the Whos' Christmas cheer for 53 years.
  • Fictional 53rd Precinct in the Bronx was found in the TV comedy "Car 54, Where Are You?"
  • "53rd & 3rd" a song by the Ramones
  • The number of Hail Mary beads on a standard, five decade Catholic Rosary (the Dominican Rosary).[6]
  • The number of bytes in an Asynchronous Transfer Mode packet.
  • UDP and TCP port number for the Domain Name System protocol.
  • 53-TET (53 tone, equal temperament) is a musical temperament that has a fifth that is closer to pure than our current system.
  • 53 More Things To Do In Zero Gravity is a book mentioned in The Hitchhiker's Guide to the Galaxy

Sports[]

  • The maximum number of players on a National Football League roster
  • Most points by a rookie in an NBA playoff game, by Philadelphia's Wilt Chamberlain, 1960
  • Most field goals (three-game series, NBA playoffs), by Michael Jordan, 1992

See also[]

References[]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A005384 (Sophie Germain primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A045345 (Numbers n such that n divides sum of first n primes A007504(n).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Puzzle 31.- The Average Prime number, APN(k) = S(Pk)/k from The Prime Puzzles & Problems Connection website
  4. ^ "elementary number theory - Decimal/hex palindromes: why multiples of 53?". Stack Exchange. June 16, 2015. Retrieved 29 September 2018.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A003052 (Self numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  6. ^ "Rosary Workshop: Rosary - origin of rosary prayers".
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