Hardy-Ramanujan Numbers & Cube Properties
Explore the fascinating world of numbers that can be expressed as the sum of two cubes in two different ways, along with interesting properties of cube numbers.
3D Cube Visualization
Observe a rotating cube demonstrating the three-dimensional nature of cube numbers
Hardy-Ramanujan Numbers
Numbers like 1729, 4104, 13832 are known as Hardy-Ramanujan Numbers. They can be expressed as the sum of two cubes in two different ways.
Cube Numbers
A number obtained when a number is multiplied by itself three times is called a cube number.
Cubes of even numbers are even and cubes of odd numbers are odd.
Perfect Cubes
A perfect cube can always be expressed as the product of triplets of prime factors.
Cube Roots
The cube root of a number x is the number whose cube is x. It is denoted by ∛x.
Ending Digits of Cubes
Cubes of numbers ending with digits 0, 1, 4, 5, 6 and 9 end with the same digits respectively.
Cube of a number ending in 2 ends in 8, and cube root of a number ending in 8 ends in 2.
Cube of a number ending in 3 ends in 7, and cube root of a number ending in 7 ends in 3.
Special Cube Facts
The cube of 100 (100³) will have 6 zeroes.
The cube of 0.3 is 0.027.
The cube of 0.4 is 0.064.
There are 8 perfect cubes between 1 and 1000.
1 m³ = 1,000,000 cm³
Cube of a positive integer is positive, and cube of a negative integer is negative.
