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Q: Is the number 20 deficient perfect or abundant?

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Abundent

No; 20 is an abundant number. S = {1, 2, 4, 5, 10} is the set of all positive divisors of 20, excluding itself. The sum of these divisors = 1+2+4+5+10=22 which is greater than 20. Therefore 20 is an abundant number, not a deficient number. When the sum exceeds the number, the number is abundant. When the sum equals the number, the number is perfect. When the sum is less than the number, the number is deficient.

To find out if a number is abundant, perfect or deficient, you first need to split it into its prime factors: 34 = 2x17 The next step would be to find any combinations, but as we have only 2 prime factors, those are the two we'll work with. You add these together, with 1, and get 20. When this sums to less than the original number it's a deficient number. 20 is less than 34, and so 34 is a deficient number.

No it is not. The closest perfect number to it is 28. The divisors of 20 are 1,2,4,5,10 those add up to more than 20 so 20 is an abundant number.

2: 1, 2 (3) deficient 3: 1, 3 (4) deficient 4: 1, 2, 4 (7) deficient 5: 1, 5 (6) deficient 6: 1, 2, 3, 6 (12) perfect 7: 1, 7 (8) deficient 8: 1, 2, 4, 8 (15) deficient 9: 1, 3, 9 (13) deficient 10: 1, 2, 5, 10 (18) deficient 11: 1, 11 (12) deficient 12: 1, 2, 3, 4, 6, 12 (28) abundant 13: 1, 13 (14) deficient 14: 1, 2, 7, 14 (24) deficient 15: 1, 3, 5, 15 (24) deficient 16: 1, 2, 4, 8, 16 (31) deficient 17: 1, 17 (18) deficient 18: 1, 2, 3, 6, 9, 18 (39) abundant 19: 1, 19 (20) deficient 20: 1, 2, 4, 5, 10, 20 (42) abundant 21: 1, 3, 7, 21 (32) deficient 22: 1, 2, 11, 22 (26) deficient 23: 1, 23 (24) deficient 24: 1, 2, 3, 4, 6, 8, 12, 24 (60) abundant 25: 1, 5, 25 (31) deficient 26: 1, 2, 13, 26 (42) deficient 27: 1, 3, 9, 27 (40) deficient 28: 1, 2, 4, 7, 14, 28 (56) perfect 29: 1, 29 (30) deficient 30: 1, 2, 3, 5, 6, 10, 15, 30 (72) abundant

Yes 20 is an ABUNDANT number because 1+2+4+5+10=22 and that is more than 20. PS how to find and ABUNDANT number is to add up all its factors. :)

20 is a not perfect square.

28 is a perfect number.

20 is a not perfect square.

Let S be the set of the positive divisors of 20, excluding 20. S = {1, 2, 4, 5, 10} The sum of all the elements of S = 1 + 2 + 4 + 5 + 10 = 22 > 20. Therefore, 20 is an abundant number.

The only perfect number between 20 and 50 is 28.

The number is 28.

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