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Q: Is 36 a perfect abundant or deficient number?

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36 is a deficient

36 is abundant.

abundant

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.

36

yes

36 is a perfect square number.

Because the sum of its proper divisors is greater than 36.

because it is

Six.

36 is a perfect square number which can be written as 62.

72 is an abundant number because the sum of its positive divisors, not including 72 itself, is larger than 72. Positive divisors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 36 = 123 > 72 (if an integer is larger than the sum of its positive divisors , not including the integer itself, then that integer is called a deficient number, such as prime or power of prime numbers or numbers like 10 are).

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