53 (number)

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52 53 54
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.

Contents

In mathematics

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

Astronomy

In other fields

Fifty-three is:

Herbie film car used in the 1977 Disney film Herbie Goes to Monte Carlo Herbie car.jpg
Herbie film car used in the 1977 Disney film Herbie Goes to Monte Carlo

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

See also

Related Research Articles

15 (fifteen) is the natural number following 14 and preceding 16.

19 (nineteen) is the natural number following 18 and preceding 20. It is a prime number.

21 (twenty-one) is the natural number following 20 and preceding 22.

33 (thirty-three) is the natural number following 32 and preceding 34.

70 (seventy) is the natural number following 69 and preceding 71.

31 (thirty-one) is the natural number following 30 and preceding 32. It is a prime number.

58 (fifty-eight) is the natural number following 57 and preceding 59.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

<span class="mw-page-title-main">360 (number)</span> Natural number

360 is the natural number following 359 and preceding 361.

400 is the natural number following 399 and preceding 401.

500 is the natural number following 499 and preceding 501.

2000 is a natural number following 1999 and preceding 2001.

3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.

6000 is the natural number following 5999 and preceding 6001.

8000 is the natural number following 7999 and preceding 8001.

181 is the natural number following 180 and preceding 182.

251 is the natural number between 250 and 252. It is also a prime number.

189 is the natural number following 188 and preceding 190.

60,000 is the natural number that comes after 59,999 and before 60,001. It is a round number. It is the value of (75025).

References

  1. Sloane, N. J. A. (ed.). "SequenceA005384(Sophie Germain primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-05-30.
  2. Sloane, N. J. A. (ed.). "SequenceA045345(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. Sloane, N. J. A. (ed.). "SequenceA003052(Self numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-05-30.
  5. Sloane, N. J. A. (ed.). "SequenceA154363(Numbers from Bhargava's prime-universality criterion theorem)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-04-22.
  6. Sloane, N. J. A. (ed.). "SequenceA133377(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.
  7. "Rosary Workshop: Rosary - origin of rosary prayers".