Marvellous maths explained. The mystery of the number 1089. (Control in Motion) (2024)

FAQs

What is the math behind the 1089 trick? ›

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.

1089 is the integer after 1088 and before 1090. It is a square number (33 squared), a nonagonal number, a 32-gonal number, a 364-gonal number, and a centered octagonal number. 1089 is the first reverse-divisible number.

The number you will get is 1089! For example, if you start with 532 (three digits, decreasing order), then the reverse is 235. Subtract 532-235 to get 297. Now add 297 and its reverse 792, and you will get 1089!

Simply put, pi is weird. Mathematicians call it a "transcendental number" because its value cannot be calculated by any combination of addition, subtraction, multiplication, division, and square root extraction.

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.

Anything divided by zero is actually not defined, i.e. the solution does not exist or it has an infinite number of possible solutions.

1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 - cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729.

There are mostly natural numbers which cannot be distinguished from each other. They are inaccessible; we briefly call them dark. It is unfamiliar and hard for mathematicians trained to believe in completed infinity to imagine a. potentially infinite set which is finite without having a last fixed element.

The number 6174 is a really mysterious number. At first glance, it might not seem so obvious. But as we are about to see, anyone who can subtract can uncover the mystery that makes 6174 so special.

1729 as the sum of two positive cubes. 1729 is the smallest nontrivial taxicab number, and is known as the Hardy–Ramanujan number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan in hospital.

What is the hardest math theorem in the world? ›

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation aⁿ + bⁿ = cⁿ for any integer value of n greater than 2.

Euler's Equation: 'The Most Beautiful Theorem in Mathematics'

Goldbach's Conjecture

Goldbach's Conjecture is, “Every even number (greater than two) is the sum of two primes.” You check this in your head for small numbers: 18 is 13+5, and 42 is 23+19. Computers have checked the Conjecture for numbers up to some magnitude. But we need proof for all natural numbers.

Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Continuing with this process of forming and subtracting, we will always arrive at the number 6174.

The sum of the digits of the number added to 9 is always equal to the sum of the digits of the result. Take any four digit number and try the trick. Your friends are amazed when you magically transform your hands into a calculator and multiply on your fingers!

Generalizing work done for p-groups, we define the ghost number of a group algebra, which is a natural number that measures the degree to which the generating hypothesis fails.

The Collatz conjecture is the most famous unsolved problem in all of mathematics. This conjecture asks whether repeating two simple arithmetic operations will at some point transform every positive integer into 1.