Affluent Savvy
Affluent Savvy
Photo: Viktoria Slowikowska
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, ...
The first word to avoid when manifesting is the word don't. When you say I don't want something, you're focusing on something you don't want rather...
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The History of 911 The first call to 911 was placed in February of 1968. Thanks to 911, throughout the country, a call to 911 can quickly connect...
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The simple yet scientifically proven Wealth DNA method laid out in the report allows you to effortlessly start attracting the wealth and abundance you deserve.
Learn More »Let the sum of the squares of the digits of a positive integer be represented by . In a similar way, let the sum of the squares of the digits of be represented by , and so on. Iterating this sum-of-squared-digits map always eventually reaches one of the 10 numbers 0, 1, 4, 16, 20, 37, 42, 58, 89, or 145 (OEIS A039943; Porges 1945). 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, ... (OEIS A007770). These are also the numbers whose 2-recurring digital invariant sequences have period 1. The numbers of iterations required for these to reach 1 are 0, 5, 1, 2, 4, 3, 3, 2, 3, 4, 4, 2, 5, ... (OEIS A090425). The numbers of happy numbers less than or equal to 1, , , ... are given by 1, 3, 20, 143, 1442, 14377, 143071, ... (OEIS A068571). The first few consecutive happy numbers have , 129, 192, 262, 301, 319, 367, 391, ... (OEIS A035502). Similarly, the first few happy triplets start with 1880, 4780, 4870, 7480, 7839, ... (OEIS A072494). The first few happy primes are 7, 13, 19, 23, 31, 79, 97, 103, 109, 139, ... (OEIS A035497). Once it is known whether a number is happy (or not), then any number in the sequence , , , ... will also be happy (or not). A number that is not happy is called unhappy. Unhappy numbers have eventually periodic sequences of which never reach 1. Any permutation of the digits of an unhappy or happy number must also be unhappy or happy. This follows from the fact that addition is commutative.
A nutritious, well-balanced diet is crucial for staying healthy, especially for people with diabetes. When striving for a well-balanced diet,...
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The four-leaf clover is an ancient Irish symbol of Luck that stems from folklore. Legend says that the Celtics believed that the clover would help...
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The simple yet scientifically proven Wealth DNA method laid out in the report allows you to effortlessly start attracting the wealth and abundance you deserve.
Learn More »A nice number is an integer ending in 3 or 7 when written out in decimal.
Purple LED is a combination of red and blue wavelengths, offering dual benefits of both skin clearing (blue) and anti-ageing (red). Purple is also...
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11 Most Popular Lucky Numbers in the World 1 | 7. Seven's a ubiquitous lucky number in the western world, so it was a near shoo-in for the number...
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The simple yet scientifically proven Wealth DNA method laid out in the report allows you to effortlessly start attracting the wealth and abundance you deserve.
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Weight loss A study published in 2003 found that switching from drinking cold water to hot water could increase weight loss. Researchers found that...
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Frane Selak, a music teacher in Croatia, is probably the luckiest man in the world. His story is so incredible that it will leave you speechless....
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