Examples for

# Special Numbers

Many numbers are generated from or represented by symbolic, geometric or otherwise interesting patterns and criteria. These live under the umbrella term "special numbers." Wolfram|Alpha is prepared for queries about different kinds of such numbers, such as polygonal numbers, perfect numbers, Lucas numbers, numbers from Pascal's triangle and more.

### Figurate Numbers

Query polygonal numbers and do calculations with them or check whether values are members of a figurate number class.

### Sets of Integers

Find a number or a set of numbers meeting certain criteria or check whether an individual value meets specified criteria.

### Perfect Numbers

Analyze numbers in terms of their relationship with the sum of their divisors.

### Sums & Products of Number Sets

Perform operations on defined sets of numbers.

### RELATED EXAMPLES

• Combinatorics
• Integers
• Integer Sequences
• ### RELATED WOLFRAM RESOURCES

• Perfect Numbers on Wolfram MathWorld
• Pascal's Triangle on Wolfram MathWorld
• Figurate Numbers on Wolfram MathWorld
• ### Pascal's Triangle

Query elements and rows of this famous triangle or analyze the values of its elements subject to a modulus or other condition.