5252

5252 is an even integer in the decimal system. It lies between 5251 and 5253 in the natural numbers, and is a composite number with several mathematical properties.

The prime factorization of 5252 is 2^2 × 13 × 101. This factorization yields 12 positive divisors: 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, and 5252. The sum of all divisors (sigma) is 9996, and the Euler totient function value is 2400, indicating the number of integers up to 5252 that are relatively prime to it is 2400.

In other representations, 5252 equals 0x1484 in hexadecimal and 1010010000100 in binary (or 0001 0100 1000 0100 in a 16-bit form). The decimal digits sum to 14, giving a digital root of 5. The number is not a palindrome in decimal.

In the context of Kaprekar’s routine for four-digit numbers, 5252 progresses toward the Kaprekar constant 6174. A sequence example is: 5522 − 2255 = 3267; 7632 − 2367 = 5265; 6552 − 2556 = 3996; 9963 − 3699 = 6264; 6642 − 2466 = 4176; 7641 − 1467 = 6174. This illustrates a characteristic feature of many four-digit numbers under Kaprekar’s process.