5072

5072, spoken as five thousand seven hundred seventy-two, is a natural number that follows 5071 and precedes 5073. It is an even and composite number with several simple arithmetic properties.

In mathematics, 5072 has the prime factorization 2^4 × 317, where 317 is a prime number. This makes 5072 divisible by 2, 4, 8, 16, and other divisors derived from the product 2^4 × 317. Its digit sum is 14, so 5072 is not a Harshad number in base 10. It is not a prime, nor a perfect square or cube, and it is congruent to 0 modulo 16 but not modulo 32.

Representations in other bases include a hexadecimal form of 0x13D0, a binary form of 1001111010000, and an octal form of 11720. These alternative representations reflect the same value in different numeral systems and are used in various computing and mathematical contexts.

Beyond pure mathematics, 5072 can appear as an identifier or catalog number in non-mathematical contexts, such as model numbers, project designations, or archival codes. However, there is no widely recognized significance or standard naming associated with this specific number in science or culture.

Overall, 5072 is a straightforward composite number characterized by its factors 2^4 and 317, with simple representations across common numeral systems.

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