7557

7557 is an integer in the decimal numeral system. It is a four-digit palindrome, reading the same forwards and backwards (7557).

In mathematics, 7557 is a composite number. Its prime factorization is 3 × 11 × 229. Consequently, its positive divisors are 1, 3, 11, 33, 229, 687, 2519, and 7557. The factorization also shows that 7557 equals 11 × 687 and equals 3 × 2519.

The number is divisible by 11 because it is a palindrome with an even number of digits; for any abba-type four-digit palindrome, the alternating sum of digits evaluates to zero, implying divisibility by 11. The digit sum is 24, which confirms divisibility by 3 as well and explains part of its factorization.

As a four-digit palindromic composite, 7557 serves as an example in discussions of palindromic numbers and even-digit palindromes in number theory. Its factorization illustrates how such palindromes frequently involve small primes like 11, along with larger prime factors. Outside of arithmetic properties, 7557 does not have a widely cited historical or cultural significance in standard references.