203568

203,568 is a positive integer. It is even and composite. The prime factorization is 2^4 × 3 × 4241, where 4241 is a prime number. This factorization implies that the number has 20 positive divisors (the divisor count is (4+1) × (1+1) × (1+1) = 20). The divisors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 4241, 8482, 12,723, 16,964, 25,446, 33,928, 50,892, 67,856, 101,784, and 203,568.

In terms of divisibility, the sum of digits is 24, so the number is divisible by 3. It is also divisible by 8 since the last three digits, 568, form a number divisible by 8; combined with the divisibility by 3 this makes 203,568 divisible by 24, with 203,568 ÷ 24 = 8,482. The number is not divisible by 9 or 5. Its factorization shows that it is the product of a relatively large prime 4241 with powers of 2 and 3.

Euler’s totient function yields φ(203,568) = 67,840, since φ(n) for n = 2^4 × 3 × 4241 equals 2^4 × (3 − 1) × (4241 − 1) = 67,840.

There is no widely known special significance attached to 203,568 beyond these arithmetic properties. It serves as an example of a composite number with a factorization that includes a large prime factor and as a case study for divisor counts and totients.