In base 10, the following steps always yield 1089: Take any three-digit number where the first and last digits differ by more than 1. Reverse the digits, and subtract the smaller from the larger one. Add to this result the number produced by reversing its digits.
Write down a three-digit number whose digits are decreasing. Then reverse the digits to create a new number, and subtract this number from the original number. With the resulting number, add it to the reverse of itself. The number you will get is 1089!
To multiply by 999, multiply by 1000 and subtract the number from the product: 23·999 = 23000 - 23 = 22977.
The mystery is this: first, take any three digit number, where the first and last digits differ by two or more and reverse the number to produce a new one. Then subtract the smaller from the larger producing another new number. If you reverse this number and this time add the two, the result will always be 1089.
In magic. 1089 is widely used in magic tricks because it can be "produced" from any two three-digit numbers. This allows it to be used as the basis for a Magician's Choice.
Yes, 1089 is a perfect square, as it can be expressed in the form of the product of two equal integers. (i.e) 1089 = 33×33.
There are overall 9 factors of 1089 among which 1089 is the biggest factor and 1, 3, 9, 11, 33, 99, 121, 363, 1089 are positive factors. The Prime Factors of 1089 are 3 × 11 and its Factors in Pairs are (1, 1089), (3, 363), (9, 121), (11, 99), (33, 33).
Adding one to each and multiplying we get (2 + 1)(2 + 1) = 3 × 3 = 9. Therefore 1089 has exactly 9 factors. Factors of 1089: 1, 3, 9, 11, 33, 99, 121, 363, 1089. Factor pairs: 1089 = 1 × 1089, 3 × 363, 9 × 121, 11 × 99, or 33 × 33.
1089 in words = one thousand eighty-nine
And, you may also be interested in how to spell 1094; check it out now!
drum roll… 7! Almost half of all people chose numbers between 1 and 10. The second-place number was 3, followed by 8, 4, 5, 13, 9, 6, 2, and 11, to round out the top ten choices.
According to the video, if you ask people to randomly pick any one integer between 1 and 10 (both inclusive), people are more likely to choose 7. They also said that around 45% of people prefer the given choice.
Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers. Ramanujan’s conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729.
If you multiply 7 x 11 x 13 you get 1001 and if you take 1001 times any three- digit number you get a six-digit number where the original three-digit number repeats. Therefore, your original six-digit number would be divisible by 1001 or 7, 11, and 13.
As stated above, it's because 9 is one less than our "rollover" number, 10. This actually works in any modulo system where the number you're multiplying is one less than the "rollover" number. For example, in a mod 9 system where we count 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21...
It is one of the most infamous unsolved puzzles in the word. Prizes have been offered for its solution for more than forty years, but no one has completely and successfully solved it [5]. The 3X + 1 problem has been numerically checked for a large range of values on n.
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.
In the 3x+1 problem, no matter what number you start with, you will always eventually reach 1. problem has been shown to be a computationally unsolvable problem.