The number 30 is a perfect number. A perfect number is defined as a positive integer that is equal to the sum of its proper divisors, excluding itself. The proper divisors of 30 are 1, 2, 3, 5, 6, and 15, which sum to 30. However, it should be noted that 30 is actually classified as an abundant number because the sum of its proper divisors (1 + 2 + 3 + 5 + 6 + 15 = 32) is greater than 30.
The number 30 is considered a deficient number. An abundant number is one where the sum of its proper divisors (excluding itself) is greater than the number itself, while a deficient number has a sum of proper divisors that is less than the number. The proper divisors of 30 are 1, 2, 3, 5, 6, and 15, which sum to 32. Since 32 is greater than 30, 30 is actually classified as an abundant number, not deficient.
No, 120 is not a deficient number; it is considered an abundant number. A deficient number is one where the sum of its proper divisors is less than the number itself. In the case of 120, the sum of its proper divisors (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60) is 186, which is greater than 120.
28 is a perfect number.
No. The only perfect numbers below 100 are 6 and 28.
perfect square numbers are 16 and 25
The number 30 is considered a deficient number. An abundant number is one where the sum of its proper divisors (excluding itself) is greater than the number itself, while a deficient number has a sum of proper divisors that is less than the number. The proper divisors of 30 are 1, 2, 3, 5, 6, and 15, which sum to 32. Since 32 is greater than 30, 30 is actually classified as an abundant number, not deficient.
They refer to the sum of a number's proper divisors, defined here as all of the factors except the number itself.a perfect number equals the sum of its proper divisorsa deficient number is greater than the sum of its proper divisorsan abundant number is less than the sum of its proper divisors
No, 120 is not a deficient number; it is considered an abundant number. A deficient number is one where the sum of its proper divisors is less than the number itself. In the case of 120, the sum of its proper divisors (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60) is 186, which is greater than 120.
28 is a perfect number.
The two perfect numbers between 1 and 30 are: 6, 28
The number is 28.
No. The only perfect numbers below 100 are 6 and 28.
perfect square numbers are 16 and 25
How about 150*6 = 900 which is a perfect square because 30*30 = 900
No, 30 is not a perfect cube. A perfect cube is a number that can be expressed as the cube of an integer, such as (1^3 = 1), (2^3 = 8), or (3^3 = 27). The cube root of 30 is approximately 3.11, which is not an integer, confirming that 30 cannot be written as the cube of any whole number.
The perfect number between 20 and 30 is 28. A perfect number is defined as a positive integer that is equal to the sum of its proper divisors, excluding itself. For 28, the divisors are 1, 2, 4, 7, and 14, which add up to 28. Thus, 28 is the only perfect number in that range.
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