Is 16 Abundant Deficient Or Perfect?

Is 16 an abundant number?

In number theory, an abundant number or excessive number is a number that is smaller than the sum of its proper divisors.

The integer 12 is the first abundant number.

Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16.

The amount by which the sum exceeds the number is the abundance..

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.

Is 48 abundant deficient or perfect?

The Integers 1 to 100NDivisors of NNotes461, 2, 23, 46Deficient471, 47Deficient481, 2, 3, 4, 6, 8, 12, 16, 24, 48Abundant491, 7, 49Deficient65 more rows

Is 29 a deficient number?

Deficient numbers occur more frequently than abundant numbers. In other words, the sum of the proper divisors of most numbers is less than the numbers themselves. Examples of deficient numbers include 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, and 23.

Why is 2 the only prime number?

Two is a prime because it is divisible by only two and one. All the other even numbers are not prime because they are all divisible by two.

Is 12 abundant deficient or perfect?

The whole number 12 is abundant. Its proper divisors are 1, 2, 3, 4, and 6 and the sum of the proper divisors is 16 which is greater than 12.

Are prime numbers abundant deficient or perfect?

Any prime number is deficient, because it has only one proper factor: 1. All numbers of the form 2n are also deficient. Example: 32 (=25) is a deficient number because the sum of its distinct proper factors is 31 (1+2+4+8+16).

Why 3 is the perfect number?

Three is the smallest number we need to create a pattern, the perfect combination of brevity and rhythm. … It’s a principle captured neatly in the Latin phrase omne trium perfectum: everything that comes in threes is perfect, or, every set of three is complete.

Which is the smallest prime number?

The first 1000 prime numbers1111–2023121–407312741–6017923361–8028335314 more rows

Is 16 a perfect number?

(Ochem and Rao 2012) have been checked without success. It is known that all even perfect numbers (except 6) end in 16, 28, 36, 56, 76, or 96 (Lucas 1891) and have digital root 1….Perfect Number.617858986905671913743869132883123058430081399521286 more rows

How many divisors does 4 have?

Hence the answer is D. Among the divisors of 4, 8, 16, 32, and 64 are multiples of 4.

What is the most 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.

Why is 36 not a prime number?

For 36, the answer is: No, 36 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 36) is as follows: 1, 2, 3, 4, 6, 9, 12, 18, 36. For 36 to be a prime number, it would have been required that 36 has only two divisors, i.e., itself and 1.

What is special about the number 16?

16 is a composite number, and a square number, being 42 = 4 × 4. It is the smallest number with exactly five divisors, its proper divisors being 1, 2, 4 and 8. In English speech, the numbers 16 and 60 are sometimes confused, as they sound very similar. Sixteen is the fourth power of two.

What is the greatest even prime number?

2Answer. Of course, 2 is the only and the largest even prime no.