| ||||
|---|---|---|---|---|
| Cardinal | fifty-three | |||
| Ordinal | 53rd (fifty-third) | |||
| Factorization | prime | |||
| Prime | 16th | |||
| Divisors | 1, 53 | |||
| Greek numeral | ΝΓ´ | |||
| Roman numeral | LIII, 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.
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, [1] and the ninth Eisenstein prime. [2]
The sum of the first 53 primes is 5830, which is divisible by 53, a property shared by only a few other numbers. [3] [4]
53 cannot be expressed as the sum of any integer and its decimal digits, making 53 the ninth self number in decimal. [5]
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}. [6]
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 trivial single digit numbers, these are the only numbers that share this property. [7]