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, ...
In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy number because , and . On the other hand, 4 is not a happy number because the sequence starting with and eventually reaches.
A happy number is defined as a number that can be replaced by the sum of the squares of its digit repeatedly and after some repetitions, it will yield the number 1.
The numbers for which the process of summing up of the squares of its digits ends in 1 are happy numbers. On the other hand, numbers that don't end in 1 are called unhappy or sad numbers.
To find whether a given number is happy or not, calculate the square of each digit present in number and add it to a variable sum. If resulting sum is equal to 1 then, given number is a happy number. If the sum is equal to 4 then, the number is an unhappy number.
A number is called beautiful if, for every digit x in the number, there are x occurrences of it in the number. Example: 1 is beautiful because 1 has 1 occurrence. 3133 is beautiful because 1 has 1 occurrence and 3 has 3 occurrences.
The number 1.618… goes by many different names. However, mathematicians mostly call it phi. Everywhere around us, we see this beautiful number. It isn't the number itself that is special, but rather all the other beautiful objects that revolve around it.
A number x is lonely when it appears only once, and no adjacent numbers (i.e. x + 1 and x - 1) appear in the array.
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.
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.
If for some , then the original integer. 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, ...
6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar. This number is renowned for the following rule: Take any four-digit number, using at least two different digits (leading zeros are allowed).
Strong number is a special number whose sum of the factorial of digits is equal to the original number. For Example: 145 is strong number. Since, 1! + 4! + 5!
A perfect number is a positive integer that is equal to the sum of all its proper divisors. The first perfect number is 6 in that 6 = 1+2+3, where 1, 2, and 3 are all of the proper divisors of 6. The next perfect number is 28 = 1 + 2 + 4 + 7 + 14. This is followed by the perfect numbers 496 and 8128.
Here are 10 Reasons that 10 is so important
Number ten symbolizes the completion of a cycle. Ten is the base of the decimal numeral system, by far the most common system of denoting numbers in both spoken and written language. The reason for the choice of ten is assumed to be that humans have ten fingers (digits).
A number whose only prime factors are 2,3,5 or 7 is called a humble number. The sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, ... shows the first 20 humble numbers. Write a program to find and print the nth element in this sequence.
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.
In magic. 1089 is widely used in magic tricks because it can be "produced" from any two three-digit numbers. This allows it to be used as the basis for a Magician's Choice.
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. (Sloane).
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Three is such a lonely number because someone almost always feels left out. Three is the number of jealousy, a dynamic that psychoanalyst Melanie Klein explored as an extension of Sigmund Freud's Oedipus complex.
Moving has a host of benefits, including helping you beat the blues of loneliness. Try dance, yoga, or going for a walk, or find an exercise class online. Staying active can help with depression, anxiety, stress, and a host of other things that can come with being lonely.
No surprise there. We call it lucky 7, after all, and it's not like the slot machines in Las Vegas are dotted with 9s. "People's strongest emotional reaction is to the number 7, and this has been true throughout history," Bellow told Nautilus, though he admitted nobody knew exactly why that was.
noun. : an attractive person. I'm going to ask that hot number over there to dance with me.
Over 30,000 people voted online for their favorite number, and the number chosen by the most people is… drum roll… 7! Almost half of all people chose numbers between 1 and 10.