8734

8734, or eight thousand seven hundred thirty-four, is a natural number that follows 8733 and precedes 8735. In mathematics, it is an even and composite number.

Its prime factorization is 2 × 11 × 397, which makes 8734 squarefree since no prime factor repeats. The positive divisors of 8734 are 1, 2, 11, 22, 397, 794, 4367, and 8734, reflecting its product of three distinct primes.

The sum of all divisors of 8734 is 14,328, while the sum of its proper divisors (excluding the number itself) is 5,594. Because the proper-divisor sum is less than the number, 8734 is a deficient number. In base 10, the digits add up to 8 + 7 + 3 + 4 = 22, and 8734 is divisible by 22 (8734 ÷ 22 = 397), so 8734 is a Harshad (Niven) number.

In other bases, 8734 converts to 0x221E in hexadecimal and 21036 in octal, while its binary representation is 10001000011110. These representations reflect its factorization and its role as a modestly sized, squarefree composite within the natural numbers.