2541

2541 is a natural number that follows 2540 and precedes 2542. In base-10 notation it is an odd, composite integer used in counting, labeling, and various numerical contexts.

Mathematical properties of 2541 include its prime factorization and divisibility features. It factors as 3 × 7 × 11^2. The digit sum is 2 + 5 + 4 + 1 = 12, so the number is divisible by 3; the alternating-sum rule for 11 yields (2 + 4) − (5 + 1) = 0, confirming divisibility by 11 as well. Consequently, 2541 is not prime and can be expressed with the factorization mentioned above.

In various representations, 2541 has these common forms. In binary it is 100111101101. In hexadecimal it is 0x9ED. In Roman numerals it can be written as MMDXLI, which equals 2000 (MM) plus 500 (D) plus 40 (XL) plus 1 (I).

Other numerical characteristics include its digital root, which is 3 (sum of digits is 12, and 1 + 2 = 3). The number is not a triangular or square number, and, because it has prime factors of the form 4k+3 raised to odd powers, it is not expressible as a sum of two squares.

Usage of 2541, as with many integers, appears in identifiers, catalog numbers, or model designations. It does not have widely recognized constants or theorems specifically associated with it.