# 63 (number)

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

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

## In mathematics

63 is:

• a deficient composite number.
• 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 smallest whole number that can be divided by any number from 1 to 9 without repeating decimals.[importance?]
• 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 other fields

Sixty-three is also:

## In Religion

• 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.

## References

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. ^ http://www.nfl.com/news/story/0ap1000000060091/article/david-akers-ties-nfl-record-with-63yard-field-goal