3488

3488 is a natural number that comes after 3487 and before 3489. It is an even, composite number and has several straightforward arithmetic properties.

Its prime factorization is 3488 = 2^5 × 109, where 109 is a prime number. From this factorization, the complete set of positive divisors is: 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, and 3488. The number is therefore not prime, not a perfect square or cube, and its divisor count is (5+1)×(1+1) = 12.

The sum of all divisors of 3488 is sigma(3488) = 63 × 110 = 6930, which yields a sum of proper divisors equal to 6930 − 3488 = 3442. Because this is less than 3488, 3488 is a deficient number.

In different numeral systems, 3488 is represented as follows: in binary it is 110110100000_2, in octal 6640_8, in hexadecimal 0xDA0, and in Roman numerals it is MMMCDLXXXVIII. In base 3, it is 4210012_3. The decimal digit sum is 3 + 4 + 8 + 8 = 23, so 3488 is not divisible by 3 or 9.

Overall, 3488 is a moderately large even number with a simple prime factorization and a range of standard representations across common bases.