6355

6355 is a natural number that follows 6354 and precedes 6356. In mathematics, its prime factorization is 5 × 31 × 41, making it a squarefree composite number with eight divisors: 1, 5, 31, 41, 155, 205, 1271, and 6355.

As a result of its factorization, 6355 is not expressible as a sum of two squares (since the prime 31, which is congruent to 3 mod 4, appears to the first power). It is divisible by 5, as indicated by its last digit, and it is congruent to 3 modulo 4.

In various numeral systems, 6355 has the representations: binary 1100011010011_2, octal 14323_8, and hexadecimal 0x18D3. The decimal value remains 6355 across bases, with the other representations serving as alternative encodings.

Arithmetic functions for 6355 include the sum of divisors sigma(6355) = (1+5)(1+31)(1+41) = 6 × 32 × 42 = 8064, giving an aliquot sum of 8064 − 6355 = 1709. Because all prime factors are distinct, 6355 is squarefree and has exactly eight divisors.

In summary, 6355 is a three-prime, squarefree composite number with a fixed set of divisors and several well-defined base representations, and it exhibits standard, predictable behavior in basic number-theoretic functions.