6412

6412 (six thousand four hundred twelve) is a natural number that follows 6411 and precedes 6413. It is an even, composite number. The prime factorization is 2^2 × 7 × 229, which yields 12 positive divisors: 1, 2, 4, 7, 14, 28, 229, 458, 916, 1603, 3206, and 6412. Consequently, 6412 is divisible by 4, 7, 28, and 229.

In other bases, 6412 is represented as 1100100001100 in binary, 0x190C in hexadecimal, and 0o14414 in octal. In standard Roman numerals, representations for such large values are not commonly used.

The sum of the divisors is 12,880, so the sum of proper divisors is 6,468, which is greater than 6,412. Therefore, 6412 is an abundant number. It is also a multiple of 4 and 7, and it can be expressed as 28 × 229.

In potential applications, 6412 may appear in numeric identifiers, catalog numbers, or data labels, but it does not have a widely cited role in mathematical theorems or constants. The number’s factorization connects to the twin-prime 229, since 227 and 229 form a twin-prime pair, a minor numerical observation rather than a fundamental property of the number itself.