67 (number)
(Redirected from Number 67)
| ||||
|---|---|---|---|---|
| Cardinal | sixty-seven | |||
| Ordinal | 67th (sixty-seventh) | |||
| Factorization | prime | |||
| Prime | 19th | |||
| Divisors | 1, 67 | |||
| Greek numeral | ΞΖ´ | |||
| Roman numeral | LXVII, lxvii | |||
| Binary | 10000112 | |||
| Ternary | 21113 | |||
| Senary | 1516 | |||
| Octal | 1038 | |||
| Duodecimal | 5712 | |||
| Hexadecimal | 4316 | |||
67 (sixty-seven) is the natural number following 66 and preceding 68. It is an odd number.
In mathematics
[edit]67 is:
- the 19th prime number (the next is 71).
- a Chen prime.[1]
- an irregular prime.[2]
- a lucky prime.[3]
- the sum of five consecutive primes (7 + 11 + 13 + 17 + 19).
- a Heegner number.[4]
- a Pillai prime since 18! + 1 is divisible by 67, but 67 is not one more than a multiple of 18.[5]
- palindromic in quinary (2325) and senary (1516).
- a super-prime. (19 is prime)
- an isolated prime. (65 and 69 are not prime)
- a sexy prime with 61 and 73
External links
[edit]
Wikimedia Commons has media related to 67 (number).
References
[edit]- ^ "Sloane's A109611: Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-08.
- ^ "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A031157 : Numbers that are both lucky and prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A003173 : Heegner numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A063980 : Pillai primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.