8840

8840 is a natural number that follows 8839 and precedes 8841. It is an even, composite integer with a straightforward prime factorization and several arithmetic properties.

Prime factorization and divisors: 8840 = 2^3 × 5 × 13 × 17. From this factorization, the number has (3+1)(1+1)(1+1)(1+1) = 32 positive divisors. Because its prime factors include 2 and 5, 8840 is divisible by numbers such as 2, 4, 5, 8, 10, 20, and 40, among others.

Representations in other bases: In binary, 8840 is 10001010001000. In hexadecimal, it is 0x2288. In octal, it is 21210. These representations reflect its factorization and aid in various computational contexts.

Numerical properties: As a base-10 Harshad (Niven) number, 8840 is divisible by the sum of its digits. The digit sum is 8 + 8 + 4 + 0 = 20, and 8840 ÷ 20 = 442.

Context and significance: 8840 is a typical example of a composite, even number with multiple small prime factors. It does not correspond to a well-known constant or widely referenced mathematical object, but it serves as a concise illustration of divisor structure, base representations, and Harshad properties within elementary number theory.