9975

9975 is the natural number that follows 9974 and precedes 9976. It is an odd composite number with a prime factorization of 3 × 5^2 × 7 × 19. This factorization implies the number has 24 positive divisors, including 1 and itself. The sum of all divisors is 19,840, so the sum of proper divisors is 9,865. Consequently, 9975 is divisible by 3, 5, 7, and 19, reflecting its four distinct prime factors.

In various base systems, 9975 has the representations: binary 10011011110111_2, hexadecimal 0x26F7, and octal 23367_8.

As a decimal value around ten thousand, 9975 does not correspond to any standard figurate number (such as a square or a triangular number) and does not hold a special status beyond its factorization properties. It serves as an example of a composite integer with multiple small prime factors, illustrating how factorization determines the divisor count and the sum of divisors.

If a particular context is associated with the label “9975”—for instance a product model, a catalog or year designation, or another domain—that usage would define its meaning beyond the numeric value. In the domain of number theory, however, 9975 is simply a composite integer with the stated prime factors.