6410

6410 is a natural number that follows 6409 and precedes 6411. In mathematics it is an even composite number. Its prime factorization is 2 × 5 × 641, with 641 being a prime number. As a result, 6410 has eight positive divisors: 1, 2, 5, 10, 641, 1282, 3205, and 6410. The digit sum is 11, so it is not divisible by 3 or 9, and it is divisible by 2, 5, and 10 due to its ending in 0.

In different numeral systems, 6410 equals 0x190A in hexadecimal and 1100100001010 in binary. It can also be viewed as the product of 641 and 10.

641 is notable in number theory because it is a prime that divides the Fermat number F5 = 2^(2^5) + 1; this fact was historically significant in demonstrating that not all Fermat numbers are prime. While 6410 itself gains interest mainly as the product of 641 and 10, its primary mathematical significance lies in its factorization and divisibility properties.

Beyond pure mathematics, 6410 is sometimes used as an identifier in various domains, such as model numbers, part numbers, or catalog codes in manufacturing or electronics. In these contexts, 6410 does not denote a single widely standardized item; its meaning depends on the specific product line or system using the code.

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