53 (number)
| ||||
|---|---|---|---|---|
| Cardinal | fifty-three | |||
| Ordinal | 53rd (fifty-third) | |||
| Factorization | prime | |||
| Prime | 16th | |||
| Divisors | 1, 53 | |||
| Greek numeral | ΝΓ´ | |||
| Roman numeral | LIII | |||
| Binary | 1101012 | |||
| Ternary | 12223 | |||
| Senary | 1256 | |||
| Octal | 658 | |||
| Duodecimal | 4512 | |||
| Hexadecimal | 3516 | |||
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 the second balanced prime, and fifth isolated prime.
53 is a sexy prime with 47 and 59. It is the eighth Sophie Germain prime, and the ninth Eisenstein 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 cannot be expressed as the sum of any integer and its decimal digits, making 53 the ninth self number in decimal.[4]
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}.[5]
In hexadecimal, 53 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, 99,481 = 1849916, and 8,520,280 = 082025816. Aside from the nontrivial single digit numbers, these are the only numbers that share this property.[6]
In science
[edit]- The atomic number of iodine
Astronomy
[edit]- 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
[edit]Fifty-three is:
- 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 US 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 has 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).[7]
- 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 fictional book mentioned in The Hitchhiker's Guide to the Galaxy
Colby, Kansas. Exit 53 on I-70. 53 miles from the Colorado State line.
Standard length of most semi trailers.
53rd day of the year is February 22nd.
Sports
[edit]- 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
[edit]References
[edit]- ^ Sloane, N. J. A. (ed.). "Sequence A005384 (Sophie Germain primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ 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.
- ^ Puzzle 31.- The Average Prime number, APN(k) = S(Pk)/k from The Prime Puzzles & Problems Connection website
- ^ Sloane, N. J. A. (ed.). "Sequence A003052 (Self numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ Sloane, N. J. A. (ed.). "Sequence A154363 (Numbers from Bhargava's prime-universality criterion theorem)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2024-04-22.
- ^ Sloane, N. J. A. (ed.). "Sequence A133377 (Complete list of decimal numbers that when converted to hexadecimal produce the mirror image of the original number.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2024-10-23.
- ^ "Rosary Workshop: Rosary - origin of rosary prayers".