5351

5351 is a natural number that comes between 5350 and 5352. In mathematics, it is a prime number, meaning it has no positive divisors other than 1 and itself. The number is odd and not divisible by 3 or 5, and it satisfies simple modular properties such as 5351 ≡ 3 mod 4 and 5351 ≡ 7 mod 8.

In decimal representation, the digits of 5351 sum to 14, giving a digital root of 5. The number can be expressed in other bases as well: in binary it is 1010011100111, and in hexadecimal it is 0x14E7.

From a number-theory perspective, 5351 is a member of the set of prime numbers, and it holds any typical properties associated with primes, such as being square-free and having only two positive divisors. It does not have notable factorizations or special forms beyond its primality.

There is no widely recognized cultural, historical, or scientific significance uniquely attached to 5351 beyond its role as a prime in numerical lists and mathematical examples. It may appear in problems related to prime gaps, base representations, or modular arithmetic as an illustrative constant.

See also: prime number, list of prime numbers, modular arithmetic, number representations.