- Why is 6174 a magic number?
- How can I be happy?
- What number is a lucky number?
- What is the most beautiful number?
- Is 13 a Fibonacci number?
- Is 12 a triangular number?
- What is the happiest number?
- What is a sad number?
- Is 13 a happy number?
- Is 51 a Harshad number?
- Is 28 a perfect number?
- IS 256 a perfect square?
- Why is 70 a weird number?
- Is 6 an abundant number?
- Where can I move to be happy?

## Why is 6174 a magic number?

6174 is a harshad number, since it is divisible by the sum of its digits: 6174 is a 7-smooth number, i.e.

none of its prime factors are greater than 7.

6174 can be written as the sum of the first three degrees of 18: 183 + 182 + 181 = 5832 + 324 + 18 = 6174..

## How can I be happy?

Daily habitsSmile. You tend to smile when you’re happy. … Exercise. Exercise isn’t just for your body. … Get plenty of sleep. … Eat with mood in mind. … Be grateful. … Give a compliment. … Breathe deeply. … Acknowledge the unhappy moments.More items…•

## What number is a lucky number?

There are several types of numbers that are commonly termed “lucky numbers.” is 3, so strike out every third number from the list: 1, 3, 7, 9, 13, 15, 19, …. The first odd number greater than 3 in the list is 7, so strike out every seventh number: 1, 3, 7, 9, 13, 15, 21, 25, 31, ….

## What is the most beautiful number?

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

## Is 13 a Fibonacci number?

The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

## Is 12 a triangular number?

For example, the digital root of 12, which is not a triangular number, is 3 and divisible by three.

## 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 is a sad 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, … (OEIS A031177).

## Is 13 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, … … (OEIS A007770).

## Is 51 a Harshad number?

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 102, 108, 110, 111, 112, 114, 117, 120, 126, 132, 133, 135, 140, 144, 150, 152, 153, 156, 162, 171, 180, 190, 192, 195, 198, 200, … (sequence A005349 in the OEIS).

## Is 28 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 256 a perfect square?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 256 is 16. Therefore, the square root of 256 is an integer, and as a consequence 256 is a perfect square.

## Why is 70 a weird number?

Weird numbers are natural numbers that are abundant but not semiperfect. For example, 70 is the lowest weird number, because its set of proper divisors {1,2,5,7,10,14,35} sum to 74, but no subset of its set of proper divisors sum to the number 70, and 70 is the smallest number to meet such conditions.

## Is 6 an abundant number?

Infinitely many even and odd abundant numbers exist. … Marc Deléglise showed in 1998 that the natural density of the set of abundant numbers and perfect numbers is between 0.2474 and 0.2480. Every multiple (beyond 1) of a perfect number is abundant. For example, every multiple of 6 is abundant because.

## Where can I move to be happy?

The 25 best cities to move to if you want to be happyBoulder, Colorado. Photo credit: Rex Brown via Flickr. … Santa Cruz-Watsonville. Photo credit: Dale Cruse via Flickr. … Charlottesville, Virginia. Carter Mountain Orchard, Piedmont Monticello, VA. … Fort Collins, Colorado. … San Luis Obispo, California. … San Jose, California. … Provo, Utah. … Bridgeport-Stamford-Norwalk, Connecticut.More items…•