8376

8376 is a positive integer that sits between 8375 and 8377. In number theory, it factors as 2^3 × 3 × 349, with 349 being prime. This makes 8376 a composite number and implies it has 16 positive divisors: 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, and 8376.

In base representations, 8376 is written as decimal 8376, binary 10000010111000, hexadecimal 20B8, and octal 20270. These representations reflect its factorization properties, such as the presence of 2 as a base factor in multiple numeral systems.

Arithmetic properties include a digit sum of 8 + 3 + 7 + 6 = 24, which confirms divisibility by 3. Because 8376 is divisible by 8, it is divisible by 24 as well (8376 = 24 × 349). It is not divisible by 9 since 24 is not a multiple of 9. The prime factorization also shows the largest power of two dividing 8376 is 2^3, meaning 8376 is divisible by 8 but not by 16.

Beyond these elementary facts, 8376 can appear in various cataloging or coding contexts as a numeric identifier, but no widely recognized mathematical constants or theorems are specifically associated with this number.