63 (sixty-three) is the natural number following 62 and preceding 64.

← 62 63 64 →
Cardinalsixty-three
Ordinal63rd
(sixty-third)
Factorization32 × 7
Divisors1, 3, 7, 9, 21, 63
Greek numeralΞΓ´
Roman numeralLXIII
Binary1111112
Ternary21003
Octal778
Duodecimal5312
Hexadecimal3F16

In mathematicsEdit

63 is:

  • a highly cototient number.[1]
  • a number of the form 2n − 1 (with n = 6), but it is not a Mersenne prime since n is not prime and 63 is certainly not prime either. It is the only number in the Mersenne sequence whose prime factors are each factors of at least one previous element of the sequence.
  • a Woodall number i.e. of the form 2nn − 1 with n = 4.[2]
  • the third Delannoy number.[3]
  • the sum of the powers of 2 from 0 to 5.
  • palindromic and a repdigit in bases 2 (1111112), 4 (3334), 8 (778), 20 (3320) and 62 (1162).

In scienceEdit

AstronomyEdit

In other fieldsEdit

Sixty-three is also:

In sportsEdit

In ReligionEdit

  • There are 63 Tractates in the Mishna, the compilation of Jewish Law.
  • There are 63 Saints (popularly known as Nayanmars) in South Indian Shaivism, particularly in Tamil Nadu, India.
  • There are 63 Salakapurusas (great beings) in Jain cosmology.
  • Muhammad died at the age of 63

ReferencesEdit

  1. ^ "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. ^ "Sloane's A003261 : Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  3. ^ "Sloane's A001850 : Central Delannoy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  4. ^ "David Akers ties NFL record with 63-yard field goal". NFL.com.