A number is called happy if it leads to 1 after a sequence of steps wherein each step number is replaced by the sum of squares of its digit that is if we start with Happy Number and keep replacing it with digits square sum, we reach 1.
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.
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.
122, 9, 81, 65, 37, 58, 89, 145, 42, 20, 4, 16, 37, 58........ 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).
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, ...
In number theory, an evil number is a non-negative integer that has an even number of 1s in its binary expansion. These numbers give the positions of the zero values in the Thue–Morse sequence, and for this reason they have also been called the Thue–Morse set.
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.
A number is an attractive number if the number of its prime factors (whether distinct or not) is also prime.
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 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.
Happy Numbers is one of the best online Pre-K-5 math apps that every teacher should use. I mainly use it as an independent math station that feels like having an assistant teacher for each student.
Positive numbers are numbers that are greater than zero.
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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.
One of the most important numbers in our universe is the number Pi or π. Explore humankind's odyssey—attempts throughout the ages that truly transcend cultures—to compute, approximate, and understand this enigmatic number.
A number n is said to be Powerful Number if for every prime factor p of it, p2 also divides it. For example:- 36 is a powerful number. It is divisible by both 3 and square of 3 i.e, 9.
Those three digits, as it turns out, have long been the rare object of fascination that bridges the gulf between science and mysticism. "137 continues to fire the imagination of everyone from scientists and mystics to occultists and people from the far-flung edges of society," Arthur I.
Seven was the most popular choice for both men and women. The survey revealed some other findings, too.
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.
Heart number 3 will make you very romantic at heart. Romance will be in your nature. You will want your lover to reciprocate your feelings.
In the creation story, God made the world in six days and rested on the seventh day. Scholars have found that the number seven often represents perfection or completeness in the Bible.
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In Numerology, the number 7 is said to be the hermit energy, which aids independent and isolated life. So, the occupants may feel lonely in such homes.
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.