7532

7532 is a positive integer that follows 7531 and precedes 7533. In decimal notation it is written as 7,532.

In mathematics, 7532 is even and composite. Its prime factorization is 2^2 × 7 × 269, so its positive divisors are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, and 7532 (a total of 12 divisors). The number is not divisible by 3 or 5, and its square root is approximately 86.8, so it is not a perfect square.

Representations in other bases: in binary it is 1110101101100_2; in octal it is 16554_8; in hexadecimal it is 0x1D6C.

Other properties include a digit sum of 7 + 5 + 3 + 2 = 17, giving a digital root of 8. The number is even, so it is congruent to 0 modulo 2 and 4, but not modulo 3 or 9. Its factorization into prime components makes it useful as an example in discussions of divisibility, factorization, and base conversions.

Context: as a purely arithmetic object, 7532 does not have widely known named significance. It is typically treated as an example in number theory for illustrating factorization, divisor counting, and representations across numeral bases.