3757

3757 is a natural number that follows 3756 and precedes 3758. In mathematics it is composite, with prime factorization 13 × 17^2. Its divisors are 1, 13, 17, 221, 289, and 3757. Because it factors into three prime factors counting multiplicity (Omega(3757) = 3), it is considered a 3-almost prime. The digit sum is 3 + 7 + 5 + 7 = 22, giving a digital root of 4; it is congruent to 4 modulo 9 and ends with 7 in base 10, so it is odd and not divisible by 3 or 5.

In other bases, 3757 is expressed as follows: binary 1110101011012, octal 7255, and hexadecimal EAD. In Roman numerals, it is written as MMMDCCLVII.

As a specific integer, 3757 has no widely known special status in number theory beyond its factorization properties, but it participates in standard arithmetic and modular arithmetic examples. Its approximate square root is 61.3, indicating it is far from being a perfect square or cube. Its square factor 17^2 shows up in its divisors in various combinations with 13.

Culturally and numerically, 3757 serves as a representative example of a small, non-prime integer with a simple square factor, illustrating common themes in factorization, base representation, and divisor structure.