7975

7975 is a natural number that follows 7974 and precedes 7976. In mathematics, it is an odd composite number. Its prime factorization is 5^2 × 11 × 29, which implies a total of 12 positive divisors: 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, and 7975. The sum of all divisors is 11160, so the sum of proper divisors is 11160 − 7975 = 4185. Because 4185 is less than 7975, the number is classified as deficient.

In decimal representation, the digits are 7, 9, 7, and 5, and the number is divisible by 5. It is not a Harshad number since the sum of digits is 28 and 7975 is not divisible by 28. In other bases, 7975 has the representations 1111100100111 in binary and 0x1F27 in hexadecimal.

Applications and occurrences of numbers like 7975 typically appear in purely mathematical contexts, such as discussions of factorization, divisor sums, and properties of integers. Its factorization into small primes (5, 11, and 29) makes it a convenient example for illustrating the multiplicative structure of divisors and for teaching methods of computing divisor counts and sums. Beyond arithmetic, 7975 does not have widely recognized significance in historical, scientific, or cultural contexts.