13957

13957 is a natural number that lies between 13956 and 13958. In number theory, it is a semiprime because it factors into exactly two prime numbers: 17 and 821. Consequently, its positive divisors are 1, 17, 821, and 13957, and it has four total divisors. The number is odd and not a power of any smaller integer.

In modular arithmetic and basic digit analysis, 13957 is congruent to 1 modulo 4 (13957 ≡ 1 (mod 4)). Its decimal digits sum to 25, so it is not divisible by 3. It is also not divisible by 5, since it ends in 7. In base representations, 13957 equals 0x3685 in hexadecimal and 11011010000101 in binary.

As a five-digit decimal number, 13957 has a straightforward decimal representation, with digits 1, 3, 9, 5, and 7. Its factorization into two distinct primes classifies it as a semiprime, a class of numbers sometimes studied in the context of factorization problems and cryptographic considerations. Beyond these mathematical properties, there are no widely known alternative designations, historical events, or cultural significances commonly associated with this specific number.