What Are Nice Numbers?

What are the first 10 perfect numbers?

The first few perfect numbers are 6, 28, 496 and 8128 (sequence A000396 in the OEIS)….Any odd perfect number N must satisfy the following conditions:N > 101500.N is not divisible by 105.N is of the form N ≡ 1 (mod 12), N ≡ 117 (mod 468), or N ≡ 81 (mod 324).N is of the form..

What is the most attractive number?

1.618. This number is also known as Phi or Golden Number or Golden Ratio.

What is an example of a friendly number?

The smallest “friendly number” is 6, forming for example, the “friendly” pair 6 and 28 with “abundancy” σ(6) / 6 = (1+2+3+6) / 6 = 2, the same as σ(28) / 28 = (1+2+4+7+14+28) / 28 = 2.

Why is three 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.

What is the world’s least favorite number?

110The least favorite number in the world turned out to be 110, since it’s the smallest whole number that did not get a single vote. This study reveals superstition and human affinity for numbers as significant but unexplainable, but that, according to the Greeks, is the basis for the supreme wisdom of the universe.

Why Is 9 the perfect number?

The number 9 is revered in Hinduism and considered a complete, perfected and divine number because it represents the end of a cycle in the decimal system, which originated from the Indian subcontinent as early as 3000 BC. … Nine is a significant number in Norse Mythology.

What is the happiest number?

What is the happiest number between 1 and 1,000,000. Defined the happiest number as the smallest number that finds the most other happy numbers with it, i.e. 7 found four other numbers (49, 97, 130, and 10) making it a rank 4 in happiness.

What are the perfect numbers from 1 to 100?

How Many Perfect Numbers are there and What are the Perfect Numbers from 1 to 100? There are around 51 known perfect numbers. There are only 2 perfect numbers from 1 to 100 which are 6 and 28.

What are the 4 perfect numbers?

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.

What is the most mysterious number?

61746174 is known as Kaprekar’s constant after the Indian mathematician D. R. Kaprekar.

Why is 28 the perfect number?

The number 28 is a perfect number because its proper divisors sum up to give 28, and that is the definition of a perfect number.

Why is 12 a 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.

Which is the best number?

Because of these two properties, it is the sole Sheldon prime, an homage to Sheldon Cooper, the fictional theoretical physicist on the television show The Big Bang Theory who claimed that 73 is the best number. the smallest prime with a composite sum of digits, in base 5.

What is the most unique number?

Therefore the number 6174 is the only number unchanged by Kaprekar’s operation — our mysterious number is unique. The number 495 is the unique kernel for the operation on three digit numbers, and all three digit numbers reach 495 using the operation.

What is the cutest number?

If a square can be cut into n squares of at the most two different sizes, then n is called a cute number. For example, 4 and 10 are cute numbers. and 2. A number with only 4 factors is a cute number.

What is the biggest perfect number?

This is followed by the perfect numbers 496 and 8128. for n = 7: 26(27 − 1) = 8128. As of January 2016, 49 Mersenne primes are known, and therefore 49 even perfect numbers (the largest of which is 274207280 × (274207281 − 1) with 44,677,235 digits).

What is the most meaningful number?

But the following 10 are the most important numbers, or constants, in the entire 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.More items…•

How do you get a friendly number?

An addition/subtraction strategy that uses a number that is easy to work from, typically 10 or a multiple of 10. For example, to solve 16 – 9, one might recognize that the friendly number 10 is 6 less than 16, then count down 1 more to 9 to find that the difference is 7. Compare helper facts.

Are 60 and 84 Amicable numbers?

Amicable Numbers The Greeks considered the pair of numbers 220 and 284 to be amicable or friendly numbers because the sum of the proper divisors of one of the numbers is the other number. a. 60 and 84 are amicable numbers.

Why is 7 the perfect number?

Seven is the number of completeness and perfection (both physical and spiritual). It derives much of its meaning from being tied directly to God’s creation of all things. … The word ‘created’ is used 7 times describing God’s creative work (Genesis 1:1, 21, 27 three times; 2:3; 2:4).

What is the most picked number between 1 and 10?

The most popular picks are in fact 69, 77 and 7 (in descending order). It’s well known amongst purveyors of conjuring tricks and the like that if you ask people to pick a number between 1 and 10, far more people choose 7 than any other number.