11875

11875 is a natural number that follows 11874 and precedes 11876. It is an odd composite number, meaning it has divisors other than one and itself. In its prime factorization, 11875 can be broken down into 3 × 5³ × 7³, indicating that it is divisible by 3, 5, and 7.

Mathematically, 11875 is notable for its properties in number theory. It is a pronic number when multiplied by 2, resulting in 23750, which is the product of two consecutive integers (150 × 151). Additionally, 11875 is a Harshad number, as it is divisible by the sum of its digits (1 + 1 + 8 + 7 + 5 = 22, and 11875 ÷ 22 = 539.772..., though this is incorrect; the correct sum is 22, but 11875 is not divisible by 22. A corrected clarification is that 11875 is not a Harshad number. Instead, it is a multiple of 25, a common property of numbers ending in 00, 25, 50, or 75).

In base 10, 11875 is written as "11875." In binary, it is represented as 10111001100111, while in hexadecimal, it is 2E77. The number also appears in various mathematical sequences, such as the sequence of numbers divisible by 25.

While 11875 may not have widespread cultural or historical significance, it serves as an example of how numbers can exhibit interesting mathematical properties. Its structure makes it useful in certain computational and theoretical contexts, particularly in modular arithmetic and divisibility rules.