2788

2788 is a natural number that follows 2787 and precedes 2789. It is even and composite, with several small factors contributing to its structure.

Its prime factorization is 2^2 × 17 × 41. Consequently, its positive divisors are 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, and 2788, for a total of 12 divisors. The sum of all positive divisors is 5292, so the sum of proper divisors is 2504. The number is congruent to 1 modulo 3 and to 7 modulo 9.

In different numeral systems, 2788 is represented as 101011100100 in binary, 5344 in octal, and AE4 in hexadecimal. In Roman numerals, it is written as MMDCCLXXXVIII.

As a decimal value, the digits of 2788 add up to 25, which means it is not a Harshad (Niven) number in base 10. The number is divisible by 4, and its factorization shows that it is a multiple of 697 (2788 = 4 × 697) and of the prime factors 17 and 41. These properties place 2788 within typical discussions of small composite integers, illustrating common patterns in factorization and base representations.