16275

16275 is the natural number that follows 16274 and precedes 16276. In decimal notation, it is an odd composite number with prime factorization 3 × 5^2 × 7 × 31, giving a total of 24 divisors. It is divisible by 3, 5, 7, 15, 21, 25, 35, 75, and 217 among others.

In base representations, 16275 equals 11111110010011 in binary, 37623 in octal, and 0x3F93 in hexadecimal. These representations reflect its factorization and size in different numeral systems.

Mathematical properties include its status as a Harshad (Niven) number in base 10, since the sum of digits is 1+6+2+7+5 = 21 and 16275 ÷ 21 = 775. The number is not a perfect square or a triangular number, and it lies between 127^2 and 128^2.

Context and usage: as a specific integer, 16275 is primarily of interest in number theory discussions about divisibility, factorization, and numeral-base representations. It serves as an example of a multi-prime factorization with a relatively straightforward divisor structure, and its base conversions illustrate how large integers appear across different bases.

See also: lists of integers, factorization examples, Harshad numbers.