3726

3726 is a natural number that follows 3725 and precedes 3727. It is an even and composite integer with a prime factorization of 2 × 3^4 × 23, equivalently 81 × 46.

In terms of divisibility and arithmetic properties, 3726 has a digit sum of 18, making it divisible by 3 and 9. It is also divisible by 27 and 81 due to the presence of the factor 3^4. The divisors of 3726 total 20, reflecting its factorization as 2^1 × 3^4 × 23^1. The Euler totient φ(3726) equals 1188, and the sum of its positive divisors σ(3726) equals 8712. A convenient factorization is 3726 = 81 × 46, highlighting the 3^4 component and the 2 × 23 component.

Representations in different bases include decimal 3726, hexadecimal 0xE8E, and binary 111010001110. In Roman numerals, it is written as MMMDCCXXVI.

Contextually, 3726 does not correspond to a widely known mathematical constant or notable historical event; it is primarily recognized as a specific composite four-digit integer with the above factorization and arithmetic properties. As such, it serves as a representative example of a non-prime integer with multiple small prime factors and a relatively rich divisor structure.