7413

7413 is the integer following 7412 and preceding 7414. It is an odd composite number with prime factorization 3 × 7 × 353, making it square-free. Its positive divisors are 1, 3, 7, 21, 353, 1,059, 2,471 and 7,413, yielding eight divisors in total. The sum of all divisors is 11,328, so the sum of proper divisors is 3,915; because this is less than 7,413, the number is classified as deficient.

Arithmetic and digital properties include a digit sum of 15 and a digital root of 6. 7413 is divisible by 3 and 7 but not by 9 or 5, and it is not a Harshad number in base 10. Euler’s totient function φ(7413) equals 4,224. In common numeral systems, 7413 is represented as 1110011110101 in binary, 16365 in octal, and 1CF5 in hexadecimal.

As a natural number, 7413 does not belong to commonly singled-out classes such as primes, perfect numbers, triangular numbers, or perfect powers. Its primary significance is numerical and arithmetical; like other integers, it appears in contexts that require counting, indexing, or labeling but has no widely recognized special role in mathematical theory or cultural references.