6962

6962 is a natural number that lies between 6961 and 6963. In mathematics it is an even composite integer with prime factorization 6962 = 2 × 59^2, since 59 is a prime.

Because of this factorization, 6962 has exactly six positive divisors: 1, 2, 59, 118, 3481, and 6962. The presence of the square factor 59^2 means the number is not squarefree, but it is divisible by a prime square.

6962 can be expressed as a sum of two squares: 6962 = 59^2 + 59^2. Equivalently, it is twice a square, namely 6962 = 2 × (59)^2. This representation highlights its relation to classic sums of squares and to the arithmetic of multiplying sums of squares.

In modular arithmetic it is congruent to 2 modulo 4 (6962 ≡ 2 (mod 4)) and is not divisible by 3 or 5. Its only prime divisors are 2 and 59, and the number of divisors confirms the two distinct prime factors with exponents 1 and 2.

As a member of the integers, 6962 is an example of a twice-square number where the squared factor is a prime. It appears in discussions of divisor structure, representations as sums of squares, and modular properties within elementary number theory.