5945

5945 is a natural number that follows 5944 and precedes 5946. It is an odd composite number and is the product of three distinct primes.

Its prime factorization is 5945 = 5 × 29 × 41, which makes it squarefree. Consequently, it has exactly eight positive divisors: 1, 5, 29, 41, 145, 205, 1189, and 5945. The sum of all divisors is sigma(5945) = (1+5)(1+29)(1+41) = 6 × 30 × 42 = 7560, so the sum of proper divisors equals 1615. Euler’s totient function yields φ(5945) = 5945 × (1 − 1/5) × (1 − 1/29) × (1 − 1/41) = 4480.

In different bases, 5945 is 0x1739 in hexadecimal and 1011100111001 in binary. The number is congruent to 1 modulo 4 and to 2 modulo 3, and it ends in the digit 5, reflecting its divisibility by 5. These properties collectively describe its arithmetic behavior within the integers.