What is the happiest number?

For example, starting with 7 gives the sequence 7, 49, 97, 130, 10, 1, so 7 is 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). These are also the numbers whose 2-recurring digital invariant sequences have period 1.

Is 4 a happy number?

For instance, while 19 is a 10-happy prime, 91 = 13 × 7 is not prime (but is still 10-happy). All prime numbers are 2-happy and 4-happy primes, as base 2 and base 4 are happy bases.

What numbers are not happy?

If a number is unhappy, all the numbers in its sequence (obtained by the sum of the squares of the digits) are also unhappy numbers. In example 2, since 36 is an unhappy number, all the numbers in its sequence like, 45, 41, 17, 50, 25, 29, 85, 89, 145, 42, 20 and 4 are also unhappy numbers.

What is the smallest happy number?

You might have also noticed that in addition to being a happy number, seven is also a prime number, which makes it the smallest happy prime number.

What is the weirdest number?

An infinite number of weird numbers are known to exist, and the sequence of weird numbers has positive Schnirelmann density. (Sloane). are 2, 4, 4, 11, 13, 16, 16, 57, and 78, and the numbers of digits in the resulting weird numbers are 2, 4, 5, 11, 13, 16, 19, 53, and 74 (E. Weisstein, Dec.

7 and Happy Numbers - Numberphile

What is bouncy number?

A bouncy number is any non-negative integer that is neither increasing nor decreasing. An increasing integer is any integer in which when going from left to right, the current digit is greater than or equal to the previous digit. For example, 1234 and 14779 are both increasing integers.

What is the 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.

Is 7 is a happy number?

is said to be happy. For example, starting with 7 gives the sequence 7, 49, 97, 130, 10, 1, so 7 is 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, ...

Is 2022 a happy number?

The happy numbers up to 10000 are 1, 10, 100, 222, 488, 848, 884, 1000, 1113, 1131, 1311, 2022, 2202, 2220, 226X, 22X6, 262X, 26X2, 2X26, 2X62, 3111, 4088, 4808, 4880, 622X, 62X2, 6666, 66EE, 6X22, 6E6E, 6EE6, 8048, 8084, 8408, 8480, 8804, 8840, X226, X262, X622, E66E, E6E6, EE66, 10000.

Is 4 a sad number?

The first few unhappy numbers are 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 16, 17, 18, 20, ... (OEIS A031177).

Are there infinite happy numbers?

There are infinitely many happy numbers. An intuitive proof for this is that there are infinitely many integers of the form 10n, which have one digit equal to one and some number of digits equal to zero. These numbers are all happy.

What is the number of magic?

It is 1729. Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers.

Is 5555 a happy number?

You can find a lot of 'happy numbers' such as: 310, 70, 86, 130, 7, 5555, 1212, 13, 1000 and other numbers which are variations of these, e.g. swapping the numbers the other way around (13, 31) and adding zeros onto the end of numbers (31, 310).

Is Armstrong a number?

Armstrong number is a number that is equal to the sum of cubes of its digits. For example 0, 1, 153, 370, 371 and 407 are the Armstrong numbers.

Is 478 a happy number?

2) Eve found out that 478 is a happy number.

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.

Is 64 a happy number?

All of the happy numbers less than 200 are 1, 7, 10, 13, 19, 23, 28, 31, 32, 44, 49, 68, 70, 79, 82, 86, 91, 94, 97, 100, 103, 109, 129, 130, 133, 139, 167, 176, 188, 190, 192, and 193. If a number is happy, then you can generate another happy number just by rearranging the digits and inserting 0's.

Why is 3 a magic 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 three a lucky number?

The numbers 3, 6, and 8 are generally considered to be lucky, while 4 is considered unlucky. These traditions are not unique to Chinese culture, with other countries with a history of Han characters also having similar beliefs stemming from these concepts.

What is the most picked number between 1 and 100?

The most random two-digit number is 37, When groups of people are polled to pick a “random number between 1 and 100”, the most commonly chosen number is 37. The Answer to the Ultimate Question of Life, the Universe, and Everything (“what is 6 times 9”, correct in base 13).

What is a mystery number?

A Mystery number is a number that can be represented by sum of two numbers, and the numbers re reverse of each other.

What is Krishnamurthy number?

Krishnamurthy number is another special number in Java. A number is said to be Krishnamurthy if the factorial sum of all its digits is equal to that number. Krishnamurthy number is also referred to as a Strong number.