13997

13997 is a natural number that follows 13996 and precedes 13998. It is an odd integer.

In base 10 its digits are 1, 3, 9, 9, and 7. The digit sum is 29, so it is not divisible by 3. It is not divisible by 2 or 5, as it ends in 7. Consequently, 13997 has no simple divisibility by small primes such as 2, 3, or 5. In modular arithmetic, 13997 ≡ 2 (mod 9) and ≡ 2 (mod 5); more generally, it can be analyzed in various bases, including binary and hexadecimal representations.

Primality: 13997 is a prime number, meaning its only positive divisors are 1 and itself. The square root of 13997 is about 118, and no divisors are found among primes up to 113, which supports its primality.

Representations: In binary, 13997 is 11011010101101. In hexadecimal, it is 0x36AD.

As a member of the primes, 13997 is part of the sequence of prime numbers less than 15000 and is of interest in elementary number theory and prime-distribution studies. See also lists of primes and basic topics in primality testing.