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It should refer to an operation that brings a new number to a new number each time, until a certain step, the number starts to repeat, and so on.
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A digital black hole is when certain numbers go through a certain operation to get a circular or definite answer. For example, the number of black holes is 6174, choose a four-digit number at random, such as 1628, first arrange the four numbers from large to small to get 8621, and then arrange the four numbers of the original number 1628 from small to large to get 1268, and use the large one to decrease: 8621-1268=7353.
Repeat according to the above method, arrange 7353 from large to small, get 7533, arrange from small to large to get 3357, and decrease greatly: 7533-3357 = 4176, repeat 4176 again, get 7641-1467 = 6174. So 6174 is a black hole number.
2. Take any number, and write down the number of even numbers it contains in turn, and the sum of the odd numbers and these two numbers will give a positive integer. For this new number, the even number and the odd number are combined with the sum to form another positive integer, and so on, and the number 123 will inevitably stay in the end.
Example: The number given is 14741029
The result of the first calculation is 448
The second calculation resulted in 303
The result of the third calculation is 123
Multiply the sum of the three digits by 2 to obtain the number as the hundredth and ten digits of the three digits; The sum of the ten digits of the original number and the single digit number (if two digits are obtained, the sum of the numbers is obtained by adding the numbers) as the single digit of the new three digits. After that, repeat the process for the three digits of the reorganization, and you will see that there must be a number of fall traps.
For example, if you write a number 843, as required, the conversion process is:
8+4+3)×2=30……Make the hundred and ten digits of the new three. 4+3=7……Make a single digit of a new three-digit number. Forming a new three-digit number 307, repeat the above process, and continue is:
As a result, 208 fell into the "trap".
Another example: 411, according to the requirements, its conversion process is:
As a result, 104 fell into the trap.
If you calculate the three-digit number according to the following rules, there will also be a number "trap".
1) If it is a multiple of 3, divide the number by 3.
2) If it is not a multiple of 3, add up the numbers of each digit and square it.
For example, 126 turns out to enter the "169-256" loop, and can no longer jump out.
Another example: 368
As a result, 1 went into a "black hole".
Another way is to quickly push any single digit into a "trap".
Here's how:
Step 1: Count the number of multi-digit numbers with even numbers (including 0) and use it as the hundredth of the new number.
Step 2: Count the number of multi-digit numbers with odd numbers and use it as the number of tens of the new number.
Step 3: Make the number contained in the number as the single digit of the new number, and after forming the new number, repeat the above process for the new number.
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1. The number of black holes, also known as trap numbers, is an integer with peculiar conversion characteristics, and any integer whose numbers are not exactly the same, after a finite rearrangement and difference operation, will always get a certain number or numbers, and these numbers are the number of black holes that are rearranged to rearrange the number to a large number minus a decimal number.
2. Black hole is originally an astronomical concept that represents such a celestial body: its gravitational field.
It's so strong that not even the light can escape. The term borrowed in mathematics refers to a certain kind of operation, which is generally limited to starting from some integers, and the result will inevitably fall into a point or several points after repeated iterations is called a digital black hole.
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A digital black hole refers to a certain kind of operation, which is generally limited to starting from certain integers, and the result will inevitably fall into a point or several points after repeated iterations.
Black holes are originally an astronomical concept that represents a celestial body whose gravitational field is so strong that not even light can escape. A digital black hole refers to a certain kind of operation, which is generally limited to starting from certain integers, and the result will inevitably fall into a point or several points after repeated iterations.
The number of black holes, also known as the number of traps, is an integer of a class with peculiar transformation properties. Any integer whose numbers are not exactly the same, after a finite "rearrangement and difference" operation, will always get a certain number or numbers, and these numbers are black hole numbers. The Rearrange Difference operation is to subtract the minimum number obtained by rearranging the maximum number obtained by rearranging the numbers that make up the number.
Or the "1" number of black holes in the hail principle.
The value of the black hole
Set an arbitrary string of numbers to count the even, odd, and all digits in the number of the lands.
For example: 1234567890.
1. Even: Count the even number of the numbers, in this case 2, 4, 6, 8, 0, a total of 5.
2. Odd: Count the odd number of the numbers, in this case 1, 3, 5, 7, 9, a total of 5.
3. Total: Count the total number of the number, in this case 10.
4. New number: According to the order of "even-odd-total", the new number of eliminations is 5510.
5. Repeat: Repeat the new number 5510 according to the above algorithm to obtain the new number 134.
6. Repeat: Repeat the new number 134 according to the above algorithm to obtain the new number 123.
Conclusion: Logarithmic 1234567890, according to the above algorithm, the final result of 123 must be obtained, we can use the computer to write a program, test that any number will be 123 after a finite number of repeated learning. In other words, the end result of any number cannot escape the 123 black hole.
The above content refers to Encyclopedia - Digital Black Hole.
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Generally, the situation that starts from some integers and inevitably falls into one point or several points after repeated iterations is called a digital black hole.
Four-digit black hole 6174
Arrange the four digits of a four-digit number from smallest to largest to form a new number, and arrange them from largest to smallest to form a new number, subtract the two numbers, and then repeat this step, as long as the four digits of the four-digit number are not repeated, the number will eventually become 6174.
For example, 3109,9310 - 0139 = 9171,9711 - 1179 = 8532,8532 - 2358 = 6174. And the number 6174 will also become 6174, 7641 - 1467 = 6174.
Take any four-digit number, as long as the four numbers are not identical, they are arranged in decreasing order to form the largest number as the subtracted number; Arranged in ascending order of numbers, the smallest number is formed as a subtraction, and the difference will be 6174; If it is not 6174, then subtract according to the above method, and at most 10 steps will inevitably get 6174.
If you take the four-digit number 5679, the above method is used to calculate as follows:
123 in math is as mundane and simple as ABC in English. However, this simplest number can be observed in the following order of operation.
The value of the black hole: set an arbitrary string of numbers, count the even number, the odd number, and the total number of digits in the number, for example: 1234567890, even:
Count the even number of the number, in this case 2, 4, 6, 8, 0, for a total of 5.
Odd: Count the odd number of numbers in that number, in this case 1, 3, 5, 7, 9, for a total of 5.
Total: Count the total number of numbers for that number, in this case 10.
New number: Sort the answers in the order of "even-odd-total", and the new number is: 5510.
Repeat: Repeat the new number 5510 according to the above algorithm to obtain the new number: 134.
Repeat: Repeat the new number 134 according to the above algorithm to get the new number: 123.
Conclusion: Logarithmic 1234567890, according to the above algorithm, the final result of 123 must be obtained, we can use the computer to write a program, test that any number will be 123 after a finite number of repetitions. In other words, the end result of any number cannot escape the 123 black hole.
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