7125

7125 is a natural number that comes after 7124 and before 7126. In mathematics, it is an odd composite number with a prime factorization of 3 × 5^3 × 19.

As a positive integer, 7125 is divisible by 3, 5, 15, and 19, among other divisors. Its full set of positive divisors is: 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, and 7125. This reflects its factorization into three prime factors with exponents 1, 3, and 1, which also yields a divisor count of 16.

In different numeral bases, 7125 has the representations 7125 in base 10, 1011111101101 in base 2, 0x1BD5 in base 16, and 15725 in base 8. The decimal digits sum to 15, indicating divisibility by 3; the number is also divisible by 5 and by 19, consistent with its prime factorization.

Some basic arithmetic properties related to 7125 include its parity (odd), its divisibility by 3, 5, 15, and 19, and its status as a product of small primes. The divisors listed above reveal its factor structure and the ways it can be composed from its prime factors. Beyond its role as a numeral, 7125 may appear in various cataloging or computational contexts as a numeric identifier, though no single widely recognized standard designation is tied specifically to it.