What is the most weird number?

The first few weird numbers are 70, 836, 4030, 5830, 7192, 7912, 9272, 10430, ... (OEIS A006037). An infinite number of weird numbers are known to exist, and the sequence of weird numbers has positive Schnirelmann density.

Why is 70 a weird number?

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. The first few weird numbers are 70, 836, 4030, and 5830 and so on.

What is the mystery of 6174?

Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Continuing with this process of forming and subtracting, we will always arrive at the number 6174.

Why is 7 such a weird number?

First, it's an odd number. Even numbers can be easily divided by two, so odd numbers seem more unique to some people. Seven is also a prime number, which means it can only be divided by itself and one. Since it's the largest prime number between one and 10, some people see it as more interesting for that reason.

What does 777 mean?

Strengths. Peace of mind and contentment are two positives associated with the angel number 777, said Summers. It also has an intuitive energy. The number is associated with spirituality, more related to getting in touch with your inner self; to raise your own consciousness about what you want and need on your journey.

5 Incredible Numbers With Bizarre Powers

Is 7 a vampire number?

-digit vampires are 0, 7, 148, 3228, ... (OEIS A048935).

Why does the 1089 trick work?

Now, note that the first and last digits of each number add up to 9. So, when we reverse any of these numbers and add them together we get 9 lots of 100 from the first digit, 9 lots of 1 from the third and two lots of 90 from the second and so we get 900 + 9 + 180 = 1089. No mystery at all really!

What is a sneaky number?

A number is "sneaky" if you finally reach ZERO. Example 1: Is 95 sneaky? 95 _+92 - 52 = 81 - 25 = 56, 56 -+ 62 - 52 = 11, 11 -+ 12 - 12 = 0.

Why is 4 Unhappy number?

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.

Is 1 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, ...

What is a cool number?

Cool numbers are positive integers whose decimal representation contains only the cool digits 2 and 5. For example, numbers 25, 522, 2 are cool and 7, 15, 265 are not. Let f(k) be the smallest cool number greater than or equals k.

Is 7 an old number?

Odd numbers are numbers that cannot be divided by 2 to give a whole number. They always have a 1, 3, 5, 7, 9 in the ones column (this used to be called the units column). For example, 23 is an odd number because when you divide it by 2 there is one left (23 divided by 2 = 11 remainder 1).

Is there an evil number?

sum to 666 is known as an evil number (Pegg and Lomont 2004). However, the term "evil" is also used to denote nonnegative integers that have an even number of 1s in their binary expansions, the first few of which are 0, 3, 5, 6, 9, 10, 12, 15, 17, 18, 20, ...

What is special about 142857?

The number 142,857 is a Kaprekar number. 142857, the six repeating digits of 17 (0. 142857), is the best-known cyclic number in base 10. If it is multiplied by 2, 3, 4, 5, or 6, the answer will be a cyclic permutation of itself, and will correspond to the repeating digits of 27, 37, 47, 57, or 67 respectively.

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 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 888 a happy number?

The distinct combinations of digits that form 10-happy numbers below 1000 are (the rest are just rearrangements and/or insertions of zero digits): 1, 7, 13, 19, 23, 28, 44, 49, 68, 79, 129, 133, 139, 167, 188, 226, 236, 239, 338, 356, 367, 368, 379, 446, 469, 478, 556, 566, 888, 899. (sequence A124095 in the OEIS).

Is 2 a magic number?

As a result, atomic nuclei with a 'magic' number of protons or neutrons are much more stable than other nuclei. The seven most widely recognized magic numbers as of 2019 are 2, 8, 20, 28, 50, 82, and 126 (sequence A018226 in the OEIS).

Why is 64 a super perfect number?

In base 10, no integer added up to its own digits yields 64, hence it is a self number. 64 is a superperfect number—a number such that σ(σ(n)) = 2n.

What is the 9 trick in math?

A Mathemagical Trick

Start by thinking of a number, any number. Now, multiply that number by 9. If the result is a multi-digit number, add its digits together to come up with a new number. If that new number is still a multi-digit number, add its digits together to come up with yet another new number.

What are the First Evil numbers?

Examples. The first evil numbers are: 0, 3, 5, 6, 9, 10, 12, 15, 17, 18, 20, 23, 24, 27, 29, 30, 33, 34, 36, 39 ...

Is 1435 a vampire number?

The sequence of vampire numbers is: 1260, 1395, 1435, 1530, 1827, 2187, 6880, 102510, 104260, 105210, 105264, 105750, 108135, 110758, 115672, 116725, 117067, 118440, 120600, 123354, 124483, 125248, 125433, 125460, 125500, ...

Does the number 6 exist?

6 (six) is the natural number following 5 and preceding 7. It is a composite number and the smallest perfect number.