13626

13626 is a natural number that falls between 13625 and 13627. It is an even, composite integer with prime factorization 2 × 3^2 × 757. Its divisors total 12, including 1, 2, 3, 6, 9, 18, 757, 1514, 2271, 4542, 6813, and 13626.

In base-10 arithmetic, 13626 has several notable properties. The sum of its digits is 1 + 3 + 6 + 2 + 6 = 18, and the number is divisible by 18 (13626 ÷ 18 = 757), making it a Harshad number. It is also divisible by 9 (13626 ÷ 9 = 1514) and by 3 (as part of the 3^2 factorization). The digital root of 13626 is 9, reflecting its divisibility by 9.

13626 can be expressed as a sum of two squares: 13626 = 105^2 + 51^2. This aligns with its prime factorization, since primes congruent to 3 mod 4 (here, 3) occur with an even exponent in the factorization, which is a condition that allows such representations.

As a mathematical object, 13626 is an example of a composite integer with a straightforward prime factorization, multiple small divisors, and a representation as a sum of two squares. It does not have widely recognized roles outside mathematical contexts, but it illustrates common properties seen in mixed-prime-factor integers.