Happy numbers are a part of recreational maths. I will also talk about happy cube numbers, they are the same as happy numbers, but instead of squaring the digits of the original number, the digits are cubed. Furthermore, I will also explore happy prime numbers, these are prime numbers which are also happy. Additionally, I will mention unhappy numbers, these are numbers that do not end in 1 instead they loop in a cycle around number 4. Lastly, I will explore the history and real life uses of happy numbers, such as in computer programming and encryptions.
History of happy numbers The origins of happy numbers is not clear, the first time they were mentioned was during the 20th century. Likely guesses are that they originated from
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1+6=7, 7 is a happy number. All numbers that are 10ˣ are also happy numbers, this is because their digits will always be one 1 and one or more 0’s. an example would be 10²=100 and 100 is a happy number. Furthermore if a happy number N has one more zero added to the end of it, it will still be a happy number this is because zero does not affect the sum of the squares. An example is 13 is a happy number and so is 130. 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…..
Unhappy numbers Unhappy numbers are numbers that after having their digits squared and added together repeatedly the number always leads to 4. This is how you find out if a number is unhappy:
16:
1²+6²= 1+36= 37
3²+7²= 9+49= 58
5²+8²= 25+64= 89
8²+9²= 64+81= 145
1²+4²+5²= 1+16+25= 42
4²+2²= 16+4= 20
2²+0²= 4+0= 4 As you can see, 16 is an unhappy number. This sequence is a continuous cycle because 4²=16, and the whole thing will start all over again. 37, 58, 89, 145, 42, 20, and 4 are also all unhappy numbers because they are all part of the sequence. This means all these numbers also loop around the number 4 in a cycle.
Happy Cube Numbers Happy cube numbers are numbers that when their digits are cubed and added together repeatedly they will equal to 1. They are the same as happy numbers except that their digits are cubed instead of squared.
Lyubomirsky defines happiness as the “experience of joy, contentment, or positive well-being, combined with a sense that one’s life is good, meaningful, and worthwhile” (184). She challenges the myths that people can find happiness by changing their circumstances and that people either are “born happy or unhappy” (186). Happiness is not something that can be found or something that not everyone can have. People make their own happiness, despite the difficulties they may face. Happiness comes by “choosing to change and manage your state of mind” (185). Lyubomirsky gives cases of people who are happy even though they suffer from losses and setbacks. These are the people whose circumstances should make them unhappy, but their intentional actions bring them joy. She also gives cases of people who have not suffered any major losses but are still unhappy because they may see events negatively and feel helpless before them. Lyubomirsky asserts that “changes in our circumstances, no matter how positive and stunning, actually have little bearing on our well-being” (186). Even though a person’s circumstances may be positive, those circumstances do not make them happy. Lyubomirsky uses a Subjective Happiness Scale to measure happiness, which takes the average of numerical answers to four questions. She argues that in order to become happier, “you need to determine your present personal happiness level, which will provide your first estimate of your happiness
Lazy fall days, colorful leaves, cooler weather, birds singing, frogs croaking, crickets chirping, relaxing to the sounds of the outdoors. Waves of water crashing upon each other, fishing, telling stories around a campfire, making s’mores, memories with family and friends; this is what happiness is to me. Happiness is in the eye of the beholder, what brings happiness to one person may not bring happiness to another person. When I think of the word happiness, I think of descriptive words like Contentment, enjoyment, satisfaction, delightfulness, something that makes a person smile. I have always looked at the word happiness as a feeling, an action, never have I thought of happiness as an overall affect. However, it is a proven fact, that happiness can affect the over-all health and longevity of human life. Happy people live longer than those that are lonely, stressed, or depressed.
Happiness is not something that only lucky people come across, but rather, happiness is uncovered through a positive mindset and an optimistic outlook on life. People who take the time to appreciate the little things in life and view
Happiness. It is not tangible, measurable or even understandable. Yet, above all other things, it is what people seek the most. Individuals draw happiness from a number of different sources,presumably causing the confusion as to why happiness can not be traced back to a specific object. Still, how can you possibly meet the expectations of being happy? This article will attempt to demystify the subject of happiness.
From the perspective of positive psychology, there is a well-being formula invested by Martin Seligman to achieve a higher well-being. Martin Seligman (2010) defined as happiness: H (to maintain the length of happiness) = S (happy range breadth) + V (you can control the factors) + C (your living environment). Happy length: the distinction between "temporary" happy and "persistent" happy. Temporary happiness can be achieved by food, comedy, bunch of flowers. While the persistence of happiness is mainly affected by genetic, and this genetic trait can be changed. The breadth of happiness: psychologists think that we are born with a happy constant point, like a thermometer. If there is a happier thing, even if we are upset, it will be dedicated
Although there are a number of different nuances and qualifications for this particular term, happiness actually can be defined. In fact, it usually helps to best define happiness in terms of what it is and what it is not. Happiness is certainly a state of fluctuation there is no consistent, prolonged state of felicity. If so, it then becomes normal, the normal becomes boring, and the result a sort of benign content becomes a bland, meaningless state devoid of any significant stimulus. Instead, what is needed for happiness is the vicissitudes of life. Were there no unhappiness, there could not be happiness. Happiness, therefore, is a function of rebounding from and considering the unhappiness that is a potential for virtually almost everyone, although the unhappiness for a particular individual is most relevant to him or her. With that in mind one of the most essential qualities regarding happiness is the fact that it is extremely relative, much like motion, and is best defined as the feeling of satisfaction (ideally punctuated by elation) one gets after achievement or averting the negative vicissitudes on might have encountered.
My results showed that my happiness was an eight, out of the zero to ten scale. On average my happiness score was about 70 percent higher than all of the groups I was compared to on the questionnaire. My percent of time spent happy was also about 80 percent happier than most people my age or in the other groups. I am very pleased with this outcome, even if it did not change much from the first time I took this questionnaire. I am proud that I have such positive energy and attitude. As i have mentioned countless times, my main focus in life is to be happy. These results prove that I am on the right track. I know there's no way I can be happy 100 percent of the time but having such a high percent now really helps for the
According to Merriam-Webster dictionary, happiness is defined as, “ A state of well-being and contentment.” This attribute of happiness is displayed in the book Brave New World by Alduous Huxley. It takes place two hundred years in the future where the world has now turned into a satire full of individually promiscuous people with beliefs rather than those who create families. The book indulges in a young and careless approach to life where the creators of the society believe that their society is happier than ever. In a “soma” driven world a drug used for basically everything, just like in today’s society where drugs and depression have taken a total toll in people’s everyday life. Society’s happiness as a whole has
I took Subjective Happiness Scale and scored 3.5, which is in a middle of the continuum. It was a preliminary estimate of my set point. After retaking this test about a month later, I scored 4. The birth of my second daughter made me happier. The highest score on the scale is 7 and the lowest is 1. My friend received 3.25. Good news that despite the score, everyone can become happier.
In my opinion, people seem to be happy for many different reasons at different times in
Happy is a word that derived from the Middle English language and is one word that has not really changed over time. The meaning of happy has always meant a pleasant feeling, fortunate, or lucky. This five lettered word plays a huge role in our lives every day, from keeping us healthy to our everyday attitudes. As we have probably heard before, the key to life is happiness. It unlocks many doors and brings new opportunities to the table.
Happiness is different for every person that feels it, it comes from the trials and conflicts that we have overcome. The happiest moment is when you come out of a challenge stronger then you were before, and proud of yourself for finding the strength to make it through. In the short story, “The One’s Who Walk Away From Omelas”, written by Ursula K. Le Guin, the people of Omelas are happy because only one person has to suffer. There is a child that is kept locked away in a closet, the citizens know that he/ she is there. They know that it is because of the child’s suffering that they are able to be happy and yes, while they do feel grateful, they do nothing to help the child or each other.
Happiness is not a strange term to us. We usually use that word to express our feelings in every day. Additionally, more than a word, “happiness” is what we really need and always seek in life. However, finding and understanding deeply its meaning is not easy. The online dictionary, “vocabulary.com” defines, “Happiness is a sense of well-being, joy, or contentment. When people are successful, or safe, or lucky, they feel happiness.” Thus, we always wonder if we are happy or how could we be happier in our life. Happiness, therefore, becomes a goal for everybody.
When someone asks Google “how many people are there in the world?”a straight answer of 7.125 billion appears on the screen. However when asked “how many happy people in the world?” Google wasn't quiet sure of the answer. Is that because happiness as a human emotion cannot fully be defined? In Elizabeth Landau’s article states why happiness is so important in our daily life. Although we don't always have complete control over our emotions our surroundings, the environment and people we involve ourselves with has a lot to due with humans “happiness’”in general she explains. The human brain is the most powerful part of our whole body and if one can learn how to control your mind you can be happy, but defining
Suffice to say happiness is a reaction, so basically one becomes happy after they have done or received something. There is the odd occasion of a person who is happy for no reason. Like morality though, the person’s personality, upbringing, and thinking all have an effect on what will make them happy. A simple example of this: Bob and Mary and brought up in two different homes, environments, with different family values. Now as teenagers Mary finds it a drag to look for and have a job, where as Bob gets satisfaction out of working because it is apart of his upbringing.