LEARN CUBIC NUMBER
CUBIC NUMBERS | CUBES
An online cubic number definition
A cubic number is the third power of a number as in a x a x a = a3.
Those familiar with the evolution of the squares from adding successive odd numbers might not be too surprised to discover how the cubes evolve from summing odd numbers also. Clearly, the nth cube is simply n3. Cubes can be derived in other ways also.
The cube of any integer, "n", is the sum of the series of odd numbers beginning with (n2 - n + 1) and ending with (n2 + n - 1).
For example: For n = 6, (n2 - n + 1) = 31 and 31 + 33 + 35 + 37 + 39 + 41 = 216 = 63
Example
| n | (n)3 | = | n3 | (n2 - n + 1) | = | (n2 + n - 1) |
| 1 | 13 | = | 1 | 1 | = | 1(1) |
| 2 | 23 | = | 8 | 3+5 | = | 2(1+2+1) |
| 3 | 33 | = | 27 | 7+9+11 | = | 3(1+2+3+2+1) |
| 4 | 43 | = | 64 | 13+15+17+19 | = | 4(1+2+3+4+3+2+1) |
Related Number Types
- Integer
- Whole Number
- Digit
- Natural Number
- Odd Number
- Even Number
- Rational Number
- Irrational Number
- Transcendental Number
- Real Number
- Nominal Number
- Ordinal Number
- Arrangement Number
- Abundant Number
- Algebraic Number
- Automorphic Number
- Apocalypsec Number
- Amicable Number
- Aliquot Number
- Almost Perfect Number
- Alphametic Number
- Binary Number
- Catalan Number
- Circular Primes Number
- Complex Number
- Cyclic Number
- Cubic Number
- Congruent Number
- Cardinal Number
- Choice Number
- Composite Number
- Counting Number
- Fibonacci Number
- Fraction