6241

6241 is a natural number that follows 6240 and precedes 6242. In mathematics, it is notable for being the square of the prime 79, since 79 × 79 = 6241. As a result, 6241 is a perfect square and has exactly three positive divisors: 1, 79, and 6241. The prime-square property also implies that any factorization of 6241 uses only 1, 79, and itself.

In various numeral systems, 6241 has interesting representations: in hexadecimal it is 0x1861; in binary it is 1100001100001; and in octal it is 14141, a palindromic form. The octal palindrome is a neat incidental symmetry that arises from the square of 79. The decimal last digit is 1, so 6241 is congruent to 1 modulo 10, and also congruent to 1 modulo 4.

Beyond pure arithmetic, 6241 does not have widely noted significance in history or science; it is primarily encountered as an example of a square of a prime within number theory and in base-conversion exercises. Since 6241 = 79^2, its square root is exactly 79, placing it in the sequence of squares, specifically the squares of primes.