6734

6734 is a natural number that follows 6733 and precedes 6735. In arithmetic, it is even and composite, with a prime factorization of 2 × 7 × 13 × 37. This makes 6734 a squarefree number and the product of four distinct primes.

As a result, 6734 has 16 positive divisors: 1, 2, 7, 14, 13, 26, 91, 182, 37, 74, 259, 518, 481, 962, 3367, and 6734. The sum of all divisors is (1+2)(1+7)(1+13)(1+37) = 12768, so the sum of proper divisors is 12768 − 6734 = 6034. Since 6034 < 6734, 6734 is a deficient number.

In other numeral systems, 6734 can be represented as binary 1101001001110 and hexadecimal 0x1A4E. Its decimal digit sum is 6+7+3+4 = 20, and it is not divisible by 20, so it is not a Harshad number in base 10.

The number 6734 does not correspond to a widely recognized mathematical constant or widely cited special-purpose integer beyond its factorization properties. It chiefly serves as an example of a composite, squarefree integer with multiple distinct prime factors.