3702

3702 is a natural number that follows 3701 and precedes 3703. In mathematics, it is an even composite number with a prime factorization of 2 × 3 × 617. The prime factors are all distinct, making 3702 a sphenic number, a class of integers that are the product of three distinct primes. Its positive divisors are 1, 2, 3, 6, 617, 1234, 1851 and 3702.

The sum of all positive divisors of 3702, denoted by sigma(3702), is 7416. Therefore the sum of its proper divisors is 7416 − 3702 = 3714, which exceeds 3702 by 12. Consequently, 3702 is an abundant number. It is divisible by 2 and by 3, and hence by 6; in particular, 3702 ≡ 0 (mod 6). In modulo 9, it is congruent to 3, since the digit sum is 12.

In base representations, 3702 equals 111001110110 in binary and 0xE76 in hexadecimal. The number’s factorization also implies that it cannot be expressed as a sum of two squares, because it includes the prime 3, which is congruent to 3 mod 4 with odd exponent.

Beyond pure mathematics, 3702 may appear as an identifier, model number, or catalog entry in various contexts. As a plain integer, it serves as an example of a small, easily factored, three-prime product and of an abundant number in number theory discussions.