3725

3725 is a natural number that follows 3724 and precedes 3726. In standard decimal notation it is written as 3725 and in Roman numerals as MMMDCCXXV.

In mathematics, 3725 is a composite number with a prime factorization of 5^2 × 149. It is divisible by 5 and by 25, since the last two digits are 25, and the quotient by 25 is 149. The prime 149 is itself prime, making 3725 equal to 25 × 149. The number is odd and not a perfect square.

Because all prime factors of 3725 are congruent to 1 modulo 4 (5 ≡ 1 mod 4 and 149 ≡ 1 mod 4), 3725 can be expressed as a sum of two squares. A representation is 3725 = 61^2 + 2^2. This aligns with the sum-of-two-squares theorem, which applies to numbers whose prime factors of the form p ≡ 3 mod 4 occur with even exponents; here there are none of that form.

Other common representations include its binary and hexadecimal forms: 3725 in binary is 111010001101, and in hexadecimal it is E8D. The digit sum of 3725 is 3 + 7 + 2 + 5 = 17, and the number is not a Harshad (Niven) number since 3725 is not divisible by 17.

References to 3725 in culture are not widely noted, and the number is typically encountered in mathematical contexts or as part of numerical lists and catalogs.