7536

7536 is a natural number that follows 7535 and precedes 7537. It is an even, composite integer with a rich set of divisors and simple factorization properties.

In prime factorization terms, 7536 = 2^4 × 3 × 157. This shows it is divisible by 16, by 3, and by 157, and it can be expressed as 7536 = 48 × 157. The factorization also implies that 7536 has 20 divisors in total, arising from the combinations of its prime powers (a ∈ {0,1,2,3,4} for 2, b ∈ {0,1} for 3, c ∈ {0,1} for 157).

In various bases, 7536 is represented as:

- Decimal: 7536

- Hexadecimal: 0x1D70

- Binary: 1110101110000

- Octal: 16560

These representations reflect its decomposition into powers of two and its relationship to other prime factors.

Additional context: 7536 is not a prime or a power of a single prime, and it is not a Harshad number in base 10, since the sum of its digits is 21 and 7536 is not divisible by 21. Its arithmetic structure—being 48 times the prime 157—positions it as a typical example of a moderately composite integer with multiple divisors and a straightforward factorization.