3486

3486 is a positive integer. In mathematics, it is notable as an even, composite number with several distinct prime factors.

The prime factorization of 3486 is 2 × 3 × 7 × 83. Because all prime factors are distinct, 3486 is square-free. It has 16 positive divisors: 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, and 3486. The sum of its positive divisors (including the number itself) is 8064, so the sum of proper divisors is 8064 − 3486 = 4578, which exceeds 3486. Therefore, 3486 is an abundant number. It is divisible by 2, 3, 7, and 83, and also by 42, since 3486 ÷ 42 = 83.

In various numeral systems, 3486 is represented as follows: in binary it is 110110011110, in octal it is 6636, in hexadecimal it is D9E, and in Roman numerals it is MMMCDLXXXVI.

The digits of 3486 in base 10 sum to 21, indicating divisibility by 3 (but not by 9). As a four-distinct-prime product, 3486 is not prime, and it serves as a straightforward example of an even, square-free, abundant number with a simple factor structure.