What Number Day Of The Year Is It – The math behind the special date comes with controversy, as many have disputed whether the new millennium began on January 1, 2000 or January 1, 2001.
Once in many years there comes a date that stands out from the rest, because it happens once in hundreds of years.
What Number Day Of The Year Is It
January 21, 2021 is such a special date – today is the 21st day of the 21st year of the 21st century. And such an alignment of numbers will not happen again until January 22, 2122, i.e. 101 years.
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However, the math behind the specific date comes with controversy, as many have disputed whether the new millennium began on January 1, 2000 or January 1, 2001.
With the ongoing Covid-19 pandemic, many people have turned away from the calendar out of sheer desperation. But many Twitter users shared messages about January 21, expressing joy and surprise at the uniqueness of the date.
A day that comes once in a hundred years! Today is the 21st day of the 21st year of the 21st century. One of those rare things that life offers a way to make your day special. — Hardeep Singh Puri (@HardeepPuri) January 21, 2021
Minister of State (Independent Charge) in the Ministry of Housing and Urban Affairs Hardeep Singh Puri was among the many netizens who highlighted the special day on Twitter.
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“A day that comes once in a hundred years! Today is the 21st day of the 21st year of the 21st century. One of those rarities that life throws your way to make your day special,” he wrote.
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Although it repeats every year, June 28, or the 28th day of the 6th month, is special. It represents … [+] the only day of the year where both the date and month correspond numerically to the first two integers: 6 and 28. 496 and 8128 years since June 28 was/will also be special. It will fall on a “triple perfect” date out of those years.
Fulfillment can be a wonderful thing to strive for in life, but very rare to achieve. However, in the field of mathematics, perfection is harder to find than in life. Although all the numbers we know exist – not just from 1 to infinity, but beyond – only a few of them can be considered “integers”. For most of human history, only a handful of integers were known, and even today—with the advent of modern mathematical techniques and all the computational advances—we know a total of 51 integers.
It just so happens that June 28, or the 28th day of the 6th month of the year, is the only day/month combination that contains two mathematically perfect numbers: 6 and 28. The latter “perfect” number only comes to 496. , and you will not get the fourth day until you reach 8128. This means, if you follow our calendar, June 28, 496 was the first “perfect day” in history, and there will never be another. Until June 28, 8128.
However, June 28 is a perfect day to celebrate mathematical perfection. Here is an explanation that everyone can follow.
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The first mathematically perfect number, 6, with its proper divisors 1, 2 and 3. A number … [+] is perfect if the sum of all its positive integer factors, excluding itself, add up to the prime number. . In the case of 6, its factors 1, 2, and 3 actually add up to 6.
I would like to introduce you, in a way that you may not traditionally think of the number 6. Unlike all the other numbers around it, 6 is not only special, but perfect.
Every positive integer – that is, every number you can imagine in the sequence 1, 2, 3, … in as many ways as you like – can be factored. Factoring a number means that you can express it as two whole numbers multiplied together. Every number has itself and the number 1 as its two factors.
However, if you have other factors, you can add them all up. If, when you do this, the sum of all your factors (excluding the prime number) equals the prime number, then congratulations: you are, in fact, an integer. And that’s exactly what happens for number 6.
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Different ways of factoring the number 6, showing its completeness. Six is a perfect number … [+] because it adds to itself minus all of its unique, positive integer factors. 1 + 2 + 3 = 6, and therefore 6 is perfect.
We can write 6 as the product of two integers multiplied together in two different ways:
And it is. All together are the factors of 6: 1, 2, 3, and the prime number itself, 6. If you add all those factors – remember, minus the prime number – you can see that you get the prime number back. : 1 + 2 + 3 = 6.
What if you’re not perfect? If the sum of all your factors (except the prime) is less than the prime, you have what is known as a “deficit” instead. The idea that something would be a “perfect 10” is a mathematical travesty because the factors of 10, other than itself, are: 1, 2 and 5. They only add up to 8, making 10 a flawed number make.
Why June 28th Is The Only ‘perfect’ Day Of The Year
The first few countable numbers are often imperfect, but 6 is a perfect number: the first and easiest to find … [+] Meanwhile, 12 is the first abundant number, while a number often used to ‘perfect’ , to describe ’10’, is actually flawed in itself.
On the other hand, the sum of your factors (excluding the original number) may be greater than the original number, making you “full” instead. 12, for example, is an abundant number because you can factor it like this:
The factors of 12, excluding themselves, are then: 1, 2, 3, 4 and 6, which add up to 16, making 12 a large number.
Most numbers are deficient, and the vast majority are abundant. Only a very select few are perfect. In fact, if you try all the numbers to see if they are defective, abundant, or perfect, As you go up from 1, you will see that every number has a defect until you get to 6, the first whole number, and then you see that every other number except 12, 18, 20 and 24 had a defect. All are abundant. Eventually, when you reached 28, you would find another number that was neither deficient nor abundant; You will get another perfect number.
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Although it may seem that what a number is called ‘whole’ is subjective, its mathematical definition is … [+] that only a few numbers are found. The second one, 28, comes because the factors of 28 are smaller than itself: 1, 2, 4, 7 and 14, which add up to 28.
As you can see, 1 + 2 + 4 + 7 + 14 = 28, making 28 another whole number. It’s pretty hard to see that there’s a pattern to these integers with just the first two of them, so let’s look at the third: 496.
And just to make sure, you can verify that 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 does in fact add up to 496.
Computer programs with enough computing power behind them can brute-force analyze a candidate … [+] Mersenne prime to see if it matches an integer using an algorithm that works flawlessly on conventional (non-quantum) computers. . For small numbers this can be easily achieved; For large numbers, this task is extremely difficult and requires more computing power.
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Look (again, if you must) at the different ways to factor these three integers: 6, 28, and 496.
Did you notice that the small “factor” follows a pattern in each way these numbers are made?
Look at the number of ways to factor the first three integers as well as the smaller number in each of those multiplication examples.
If you don’t know what the fourth perfect number will be – and spoiler, it’s 8128 – how do you predict this pattern will continue?
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The first four integers can be broken down by subtracting factors of 2 until you can’t do it anymore… [+] Once this is achieved, you are left with an odd number multiplied by ‘powers of 2’, where