13125

13125 is a natural number that lies between 13124 and 13126. It is an odd, composite integer with several notable factorization properties.

Its prime factorization is 13125 = 3 × 5^4 × 7. Equivalently, it can be written as 21 × 625, 15 × 875, or 105 × 125, highlighting its divisibility by 3, 5, and 7, as well as by their products.

The number has 20 positive divisors. A full listing is: 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 4375, 13125. These arise from the combinations of exponents in its factorization: 3^a × 5^b × 7^c with a ∈ {0,1}, b ∈ {0,1,2,3,4}, c ∈ {0,1}.

In other bases, 13125 is represented as follows: binary 11001101000101, hexadecimal 0x3345, and octal 31505. This reflects its decimal value across numeral systems.

Additional numeric properties include a digit sum of 12, which confirms divisibility by 3 but not by 9 (13125 is divisible by 3 but not by 9). It ends with 25, indicating divisibility by 25; more precisely, 13125 is divisible by 125 and 625 as well (13125 = 125 × 105 and 13125 = 625 × 21). Since 3 × 5 × 7 = 105, the number is also a multiple of 105 (13125 = 105 × 125).