7356

7356 is a natural number that follows 7355 and precedes 7357. It is an even and composite integer. The prime factorization is 2^2 × 3 × 613, so 7356 equals 12 × 613. It has 12 positive divisors: 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356. Because it factors as 2^2 · 3 · 613, its divisors come from combining powers of 2 (0–2), 3 (0–1), and 613 (0–1).

In decimal notation, the digit sum is 21, which means the number is divisible by 3 but not by 9. It is divisible by 4 (the last two digits form 56) and therefore by 12 (since it is also divisible by 3). It is not divisible by 5 or 7, among other small primes.

In base representations, 7356 equals 1110010111100 in binary, 0x1CBC in hexadecimal, and 16274 in octal. The decimal 7356 can also be expressed as the product 4 × 3 × 613, with 613 being a prime number.

Context: 7356 is a general-purpose integer used in arithmetic examples and number-theory problems. It does not correspond to a well-known constant, mathematical sequence landmark, or notable historical year. Its principal features are its evenness, its factorization, and its various base representations.