3836

3836 is a natural number that follows 3835 and precedes 3837. It is an even, composite number with a straightforward prime factorization.

The prime factorization of 3836 is 2^2 × 7 × 137. This indicates the number has four prime factors counting multiplicity. Consequently, 3836 has 12 positive divisors: 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, and 3836. The number is divisible by 2, 4, 7, and 14, among others.

In different numeral systems, 3836 can be represented as follows: in binary it is 111011111100, and in hexadecimal it is 0xEFC. The decimal digits sum to 20 (3 + 8 + 3 + 6), so the number is not divisible by 3. The last two digits form 36, making 3836 divisible by 4, while the last digit being 6 means it is even.

In Roman numerals, 3836 is written as MMMDCCCXXXVI, which corresponds to 3000 (MMM), 800 (DCCC), 30 (XXX), and 6 (VI). Beyond its basic arithmetic properties, 3836 does not have widely noted special significances in mainstream mathematics, history, or culture, and is typically treated as a representative example of a composite, highly factorable integer.