This is the number of one of the mathematical black holes we introduced before-6174.
When studying numbers, Cablek found that any four-digit number that is not composed of exactly the same numbers, if each of them is rearranged to form a maximum number and a minimum number, then the minimum number is subtracted from the maximum number, if the difference is less than four digits, it is filled with zeros, and so on, and finally it becomes a fixed number: 6 174, which is the Cablek constant.
For example: 1896
986 1- 1689=8 172 872 1- 1278=7443 7443-3447=3996 9963-3699=6264
6642-2466=4 176 764 1- 1467=6 174 764 1- 1467=6 174 ……
Caballek once traveled by train and saw a broken milestone with four numbers of 3025 written on it, but the monument was cut off in the middle. Kabalek looked at him and lost his mind. He thought to himself:
30+25=55 55×55=3025.
This is really a strange number.
We can find a four-digit Capulet number with a mantissa of 5 by using a quadratic equation of one variable.
Let these two parts be A and B, the two digits are the square of 5, and the last two digits are 25, so b=25.
So there are two Cabo Park Jung Su five, 55, 45? 2025=(20+25)×(20+25)
Later, people defined this number:
If the square of an n-ary positive integer X can be divided into two numbers, and the sum of these two numbers is exactly equal to X, then X is an n-ary Kapoor Park Jung Su number.
In the decimal system, several smaller Capulet numbers are as follows:
1, 9, 45, 55, 99, 297, 703, 999, 2223, 2728, 4879, 4950, 5050, 5292, 7272, 7777, 9999, 17344, 22222, 38962, 77778, 82656, 95 12 1, 99999, 142857, 148 149, 18 18 19, 187 1 10, 208495, 3 18682, 329967, 35 1352, 356643, 3903 13, 46 1539, 466830, 499500, 500500, 533 170
In binary system, all perfect numbers are Kapoor Park Jung Su numbers.
The following is the author's calculation of the square of a number with a unit of 5 according to Kaplake's method.
These people are very orderly, so standard and so beautiful like soldiers lined up.