19343

19343 is a natural number that follows 19342 and precedes 19344. It is odd and composite. The prime factorization is 19343 = 23 × 29^2. The divisors are 1, 23, 29, 667, 841, and 19343. Because it includes the prime 23 to an odd power, 19343 cannot be expressed as a sum of two squares.

From the prime factorization, the sum of divisors is sigma(19343) = (1 + 23) × (1 + 29 + 29^2) = 24 × 871 = 20904. Since 2 × 19343 = 38686 and 20904 is less than 38686, 19343 is a deficient number. The aliquot sum (sum of proper divisors) is 20904 − 19343 = 1561.

Other properties: As an odd number with a square factor 29^2, 19343 is not squarefree; it is not a prime; it is not a perfect square.

In mathematics, 19343 serves as an example of a number with a square prime factor and a prime factor congruent to 3 modulo 4.