53 (number)

← 52 53 54 →
Cardinalfifty-three
Ordinal53rd
(fifty-third)
Factorizationprime
Prime16th
Divisors1, 53
Greek numeralΝΓ´
Roman numeralLIII
Binary1101012
Ternary12223
Senary1256
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 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

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

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. ^ Sloane, N. J. A. (ed.). "Sequence A003052 (Self numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  5. ^ 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.
  6. ^ 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.
  7. ^ "Rosary Workshop: Rosary - origin of rosary prayers".