Table of Contents
- 1 Which is a complete number?
- 2 What is whole numbers with examples?
- 3 Is 4 a perfect number?
- 4 Why is 28 a perfect number?
- 5 What is the most perfect number?
- 6 Why is 12 the perfect number?
- 7 What is the biggest perfect number?
- 8 Which is the greatest negative number?
- 9 Can a complex number be a purely imaginary number?
- 10 Why is the set of rational numbers not complete?
Which is a complete number?
Complete numbers: A positive number is said to be complete if the sum of all positive divisors of the number is equal to twice the number itself. For example, 6 is the first positive complete number. Therefore, the sum of the divisors = 1 + 2 + 3 + 6 = 12 = 2 × 6. Next complete number is 28.
What is whole numbers with examples?
In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers include positive integers along with 0.
What are the first 5 perfect numbers?
What are the First 5 Perfect Numbers? The first 5 perfect numbers are 6, 28, 496, 8128, and 33550336.
Is 4 a perfect number?
A perfect number is defined to be one which is equal to the sum of its aliquot parts. The four perfect numbers 6, 28, 496 and 8128 seem to have been known from ancient times and there is no record of these discoveries.
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.
Which is greatest whole number?
So, 0, 1, 2, 3, 4…… are the whole numbers. We can clearly say that 1 is the smallest natural number and 0 is the smallest whole number. But there is no largest whole number because each number has its successor. Thus, there is no largest whole number.
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. The discovery of such numbers is lost in prehistory.
Why is 12 the perfect number?
Twelve is a sublime number, a number that has a perfect number of divisors, and the sum of its divisors is also a perfect number. Since there is a subset of 12’s proper divisors that add up to 12 (all of them but with 4 excluded), 12 is a semiperfect number. Twelve is also the kissing number in three dimensions.
What is the most beautiful number?
What Is So Special About The Number 1.61803? The Golden Ratio (phi = φ) is often called The Most Beautiful Number In The Universe. The reason φ is so extraordinary is because it can be visualized almost everywhere, starting from geometry to the human body itself!
What is the biggest perfect number?
The largest perfect number corresponds to the Mersenne prime 26972593 – 1 (a number with over 2 million digits), the perfect number itself has 4197919 digits.
Which is the greatest negative number?
The greatest negative integer is -1.
What is the form of a complex number?
Overview: This article covers the definition of complex numbers of the form a + b i and how to graph complex numbers. What are complex numbers? A complex number can be written in the form a + b i where a and b are real numbers (including 0) and i is an imaginary number.
Can a complex number be a purely imaginary number?
Either Part Can Be Zero Complex Number Real Part Imaginary Part 3 + 2 i 3 2 5 5 0 Purely Real −6i 0 −6 Purely Imaginary
Why is the set of rational numbers not complete?
For instance, the set of rational numbers is not complete, because e.g. is “missing” from it, even though one can construct a Cauchy sequence of rational numbers that converges to it. (See the examples below.) It is always possible to “fill all the holes”, leading to the completion of a given space, as explained below.
How are complex numbers used in everyday life?
Believe it or not, complex numbers have many applications—electrical engineering and quantum mechanics to name a few! From a purely mathematical standpoint, one cool thing that complex numbers allow us to do is to solve any polynomial equation.