7604

7604 is the natural number that follows 7603 and precedes 7605. It is an even composite number.

Its prime factorization is 2^2 × 1901, with 1901 being prime. The number is divisible by 4 but not by 3 or 5. In modular terms, 7604 ≡ 2 mod 3 and 7604 ≡ 8 mod 9.

In binary and hexadecimal notation, 7604 equals 1110110110100_2 and 0x1DB4, respectively. The decimal digit sum is 17, and the residue modulo 9 is 8.

Because 1901 is a prime congruent to 1 modulo 4, it can be expressed as a sum of two squares: 1901 = 35^2 + 26^2. Consequently, 7604 = 4 × 1901 = (2×35)^2 + (2×26)^2 = 70^2 + 52^2.

Geometrically, 7604 lies between the squares 87^2 = 7569 and 88^2 = 7744, situating it in that interval on the number line.