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Is 24 a perfect number or abundant number or a deficient number?
A perfect number is a number with factors (excluding itself) that add up to the original number. An abundant number is where this sum is greater than the original number. A deficient number is where the sum is less than the original number. In the case of 24, the factors are 1, 2, 3, 4, 6, 8, 12 and 24. Summing the factors (apart from 24) gives us 1+2+3+4+6+8+12 which equals 36. This is greater than 24, the original number, and so 24 is an abundant number.
Are all multiples of abundant numbers abundant?
Yes, this is well known. All integral multiples of any perfect, or abundant number must be an abundant number.
Is 55 a deficient number or a abundant number?
abundant
Why is 25 an abundant number?
25 is not an abundant number because the sum of its divisors is less than half of 25. The lowest odd abundant number is 945.
Is the number 49 abundant?
No.
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