7226

7226 is a natural number that follows 7225 and precedes 7227. It is even and composite, with the prime factorization 2 × 3613, where 3613 is itself a prime number.

In various representations and basic properties, 7226 has several noteworthy characteristics. In base 2 it is 1110000111010, in base 8 it is 16072, and in base 16 it is 0x1C3A. The sum of its digits is 7 + 2 + 2 + 6 = 17, so it is not divisible by 3 or 9, and it leaves a remainder of 1 when divided by 5. Modulo 7, 7226 ≡ 2, and modulo 5, 7226 ≡ 1. It is not a perfect square or cube.

Mathematically, 7226 is the product of two primes and thus has four divisors: 1, 2, 3613, and 7226. As a relatively large even composite, it is primarily of interest as an example for basic factorization, base representations, and simple congruence calculations. There are no widely recognized mathematical constants, theorems, or named objects specifically associated with the number 7226, and it does not correspond to a well-known historical year or widely cited cultural event.