Question: How Do You Tell If A Number Is Abundant Deficient Or Perfect?

Are there more perfect deficient or abundant numbers?

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..

Is 21 a deficient number?

Its proper divisors are 1, 3 and 7, and their sum is 11. Because 11 is less than 21, the number 21 is deficient.

Why Is 9 the perfect number?

Nine is a Motzkin number. It is the first composite lucky number, along with the first composite odd number and only single-digit composite odd number. 9 is the only positive perfect power that is one more than another positive perfect power, by Mihăilescu’s Theorem.

Is 30 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 22 abundant deficient or perfect?

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.

Why is 3 considered 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.

Is 22 a deficient number?

The factors of 22 are 1, 2 and 11 and 22, and 1 + 2 + 11 = 14, which is less than 22, so 22 is a deficient number.

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 3 a evil number?

Examples. The first evil numbers are: 0, 3, 5, 6, 9, 10, 12, 15, 17, 18, 20, 23, 24, 27, 29, 30, 33, 34, 36, 39 …

Is 3 a bad number?

As a lucky or unlucky number Three is likely used instead of some other number because it requires the minimal amount counts while setting a rate. There is another superstition that it is unlucky to take a third light, that is, to be the third person to light a cigarette from the same match or lighter.

Is 3 a powerful number?

The most powerful number in the Bible is number 3 and denotes several significant elements and events in the Holy Book. For example, the Godhead is a trinity featuring God the Father, Son, and Holy Spirit.

Why is 28 a perfect number?

A number is perfect if all of its factors, including 1 but excluding itself, perfectly add up to the number you began with. 6, for example, is perfect, because its factors — 3, 2, and 1 — all sum up to 6. 28 is perfect too: 14, 7, 4, 2, and 1 add up to 28.

Is 160 a deficient number?

Is 160 a deficient number? No, 160 is not a deficient number: to be deficient, 160 should have been such that 160 is larger than the sum of its proper divisors, i.e., the divisors of 160 without 160 itself (that is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 32 + 40 + 80 = 218). … The smallest abundant number is 12.

Is 10 an abundant number?

The first 10 abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54,… The first 10 odd abundant numbers are: 945, 1575, 2205, 2835, 3465, 4095, 4725, 5355, 5775, 5985,…

Is 20 abundant deficient or perfect?

For example, every multiple of 20 (including 20 itself) is abundant because.

Is 32 abundant deficient or perfect?

The Integers 1 to 100NDivisors of NNotes291, 29Deficient301, 2, 3, 5, 6, 10, 15, 30Abundant311, 31Deficient321, 2, 4, 8, 16, 32Deficient65 more rows

Is 496 abundant deficient or perfect?

Is 496 a perfect number? Yes, 496 is a perfect number, that is to day 496 equals the sum of its proper positive divisors, i.e., the sum of its divisors excluding 496 itself.

What is the best number in the world?

sevenA survey launched by a British mathematics writer has found that seven is the world’s favorite number, reports The Guardian. The results of the online survey were published on Tuesday, with three, eight and and four coming second, third and fourth.