4509

4509 is a natural number that follows 4508 and precedes 4510. In mathematics, it is an odd composite number with prime factorization 3^3 × 167, giving it eight positive divisors: 1, 3, 9, 27, 167, 501, 1503, and 4509. It is divisible by 9 and by 27, and its digital root is 9.

As a result of its divisors, 4509 is classified as a deficient number, since the sum of its proper divisors (1 + 3 + 9 + 27 + 167 + 501 + 1503) equals 2211, which is less than 4509. The number is also congruent to 0 modulo 9, and it has a binary representation of 1000110011101 and a hexadecimal representation of 0x119D.

In various numeral systems, 4509 can be expressed as different strings of digits, reflecting its arithmetic structure. For example, in base 2 it is 1000110011101_2, and in base 16 it is 0x119D. Classical Roman numerals do not have a standard compact representation for 4509 beyond the usual conventions used for larger numbers, so it is typically not shown in traditional Roman form.

Beyond pure mathematics, 4509 may be used as a numeric identifier in catalogs, inventories, or datasets. Its significance in any given context depends on the specific system or domain in which the number is applied.