3784

3784 is a natural number that follows 3783 and precedes 3785. It is an even and composite integer, with a prime factorization of 2^3 × 11 × 43.

Its positive divisors are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, and 3784. The sum of all divisors is 7920, so the sum of proper divisors is 4136, which makes 3784 an abundant number. It is also a Harshad number in base 10, since 3784 divided by the sum of its digits (3+7+8+4 = 22) equals 172, an integer.

In different representations, 3784 is written in Roman numerals as MMMDCCLXXXIV, in binary as 111011001000, and in hexadecimal as EC8.

In astronomy, 3784 is used as the designation of a minor planet in the main asteroid belt. Such designations are assigned sequentially to observe and categorize small bodies orbiting the Sun, and many have later been given official names by the International Astronomical Union.

Beyond mathematics and astronomy, 3784 appears in numerical lists as a specific point of reference, illustrating properties typical of many even, composite numbers from the low thousands. The number’s factor structure and its basic base representations provide common examples of number theory concepts such as divisors, abundance, and numeral systems.