Question: Is 160 A Deficient Number?

How do you tell if a number is abundant deficient or perfect?

Abundant: The sum of the proper factors is greater than the number itself.

Deficient: The sum of the proper factors is less than the number itself.

Perfect: The sum of the proper factors is equal to than the number itself..

What is the smallest abundant number?

PropertiesThe smallest odd abundant number is 945.The smallest abundant number not divisible by 2 or by 3 is 5391411025 whose distinct prime factors are 5, 7, 11, 13, 17, 19, 23, and 29 (sequence A047802 in the OEIS).

Is 16 abundant deficient or perfect?

The Integers 1 to 100NDivisors of NNotes161, 2, 4, 8, 16Deficient171, 17Deficient181, 2, 3, 6, 9, 18Abundant191, 19Deficient65 more rows

Why is one not a prime number?

For a number to be called as a prime number, it must have only two positive factors. Now, for 1, the number of positive divisors or factors is only one i.e. 1 itself. So, number one is not a prime number. Note: 2 is the smallest number that satisfies the definition of prime numbers.

Is 22 a deficient number?

Deficient number For example, 22 is deficient because its proper factors sum to 14 < 22. The smallest deficient numbers are 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, and 17.

What is a deficient number in math?

In number theory, a deficient number or defective number is a number n for which the sum of divisors of ”n” is less than 2n. Equivalently, it is a number for which the sum of proper divisors (or aliquot sum) is less than n.

How do you find a deficient number?

A number n is said to be Deficient Number if sum of all the divisors of the number denoted by divisorsSum(n) is less than twice the value of the number n. And the difference between these two values is called the deficiency. The first few Deficient Numbers are: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19 …..

Is 18 a deficient number?

No, 18 is not a deficient number: to be deficient, 18 should have been such that 18 is larger than the sum of its proper divisors, i.e., the divisors of 18 without 18 itself (that is 1 + 2 + 3 + 6 + 9 = 21).

Why is no even number Super deficient?

A number n is super-deficient if twice the sum of its proper factors is less than n. For example, all odd primes p are super-deficient since 2 x 1 = 2 < p. A.)

Is 1 a deficient number?

Deficient numbers are sometimes called defective numbers (Singh 1997). Primes, prime powers, and any divisors of a perfect or deficient number are all deficient. The first few deficient numbers are 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, … (OEIS A005100).

Is 34 a deficient number?

Divisors of the Positive Integer 34 The integer 34 is an even number. The integer 34 is a Composite number. 20 is less than 34, so 34 is a deficient number.

Is 28 a perfect number?

Perfect number, a positive integer that is equal to the sum of its proper divisors. … The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.

Is 30 a deficient number?

A whole number is deficient if the sum of its proper divisors is less than the whole number. The number 4 is deficient. Its proper divisors are 1 and 2 and the sum of its proper divisors is 3 which is less than 4. … The first few abundant numbers are: 12, 18, 20, 24, 30, 36, 40, …

Is 120 abundant deficient or perfect?

The Integers 101 to 200NDivisors of NNotes1191, 7, 17, 119Deficient1201, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120Abundant1211, 11, 121Deficient1221, 2, 61, 122Deficient65 more rows

Is 28 a deficient number?

Is 28 a deficient number? No, 28 is not a deficient number: to be deficient, 28 should have been such that 28 is larger than the sum of its proper divisors, i.e., the divisors of 28 without 28 itself (that is 1 + 2 + 4 + 7 + 14 = 28).

Is 32 a deficient number?

A perfect number is an integer that equals the sum of its proper divisors. For example, 24 is abundant, its divisors giving a sum of 36; 32 is deficient, giving a sum…

Is 49 a deficient number?

The integer 49 is an odd number. The integer 49 is a Composite number. 8 is less than 49, so 49 is a deficient number.

Is 496 a deficient number?

Is 496 a deficient number? No, 496 is not a deficient number: to be deficient, 496 should have been such that 496 is larger than the sum of its proper divisors, i.e., the divisors of 496 without 496 itself (that is 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496).