What is the opposite of amicable?
What is the opposite of amicable?
amicable. Antonyms: unfriendly, unpropitious, unfavorable, unkind, cold, distant, antagonistic, hostile, adverse. Synonyms: friendly, propitious, favorable, kind, cordial, neighborly, sociable.
What is meant by amicable numbers?
In mathematics: Number theory. …“amicable numbers”: two numbers are amicable if each is equal to the sum of the proper divisors of the other (for example, 220 and 284). Attributing virtues such as friendship and justice to numbers was characteristic of the Pythagoreans at all times.
Is 496 a amicable number?
Amicable numbers occur in pairs where the sum of the divisors of one number equals a second number and the sum of the divisors of that number equals the first number. An example pair is 220 and 284….Amicable and perfect numbers.
| Number | Sum of factors | Type |
|---|---|---|
| 284 | 220 | Amicable |
| 496 | 496 | Perfect |
| 1184 | 1210 | Amicable |
| 1210 | 1184 | Amicable |
What is the smallest pair of friendly number?
The smallest pair of amicable numbers is (220, 284). They are amicable because the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284; and the proper divisors of 284 are 1, 2, 4, 71 and 142, of which the sum is 220.
Is 50 a happy number?
The first few happy numbers are 1, 7, 10, 13, 19, 23, 28, 31, 32, 44, 49, 68, 70, 79, 82, 86, 91, 94, 97, 100. The numbers of iterations required for these to reach 1 are 0, 5, 1, 2, 4, 3, 3, 2, 3, 4, 4, 2, 5, (OEIS A090425).
What are happy and unhappy numbers?
A number (positive integer) is called a happy number when it is replaced by the sum of the squares of its digits on a repeated basis until the sum of the squares of its digits equals to 1. On the other hand, numbers that don’t end in 1 are called unhappy or sad numbers.
What is unhappy number?
An unhappy number is a number that is not happy, i.e., a number such that iterating this sum-of-squared-digits map starting with. never reaches the number 1. The first few unhappy numbers are 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 16, 17, 18, 20.
How do you know a number is happy?
To find out if a number is happy, replace the number by the sum of the squares of its digits. Repeat the process until either the number equals 1 or loops endlessly in a cycle that does not include 1. When the process ends with 1 then the number is described as a happy number, otherwise, it is an unhappy number.
Is 13 a triangular number?
This is the Triangular Number Sequence: 1, 3, 6, 10, 15, 21, 28, 36, 45.
Is Python a happy number?
Here we will see how to detect a number n is one Happy number or not. So the happy number is a number, where starting with any positive integers replace the number by the sum of squares of its digits, this process will be repeated until it becomes 1, otherwise it will loop endlessly in a cycle.
What is a special number?
Special Numbers in Java are ones whose sum of factorials of digits is equal to the number itself. It can be an N digit number. The program has first to break the number into its corresponding digits and calculate their factorials. If the sum matches the original number, then the number is called to be a Special 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.
Why 1 is a special number?
1 is called a unique number because it is neither a prime number nor a composite number. It has only one factor, i.e, the number itself; and to be a composite number also the number must have two factors, i.e, 1 and the number; and a prime number also must have more than two factors.
What is the most beautiful number in the universe?
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!
Which is the most mysterious number?
We all learned that the ratio of the circumference of a circle to its diameter is called pi and that the value of this algebraic symbol is roughly 3.14. What we weren’t told, though, is that behind this seemingly mundane fact is a world of mystery, which has fascinated mathematicians from ancient times to the present.
What is the most meaningful number?
The 10 Most Important Numbers In The World
- Archimedes’ Constant (Pi): 3.1415…
- Euler’s Number (e): 2.7182…
- The Golden Ratio: 1.6180…
- Planck’s Constant: 6.626068 x 10^-34 m^2 kg/s.
- Avogadro’s Constant: 6.0221515 x 10^23.
- The Speed of Light: 186,282 miles per second.
What is the world’s least favorite number?
110
What is romance number?
I=1, V=5, X=10, L=50, C=100. Number. Roman.
Why is 7 a lucky?
In the creation story, God made the world in six days and rested on the seventh day. Scholars have found that the number seven often represents perfection or completeness in the Bible. In Judaism, there are seven heavens. Seven is also a prime number, which means it can only be divided by itself and one.
