square number

Integer times itself

A square number is the product of an integer multiplied by itself.

The sequence begins 1, 4, 9, 16, 25, and continues infinitely.

Square numbers get their name from geometry: arranging that many objects forms a perfect square, like the dots on dice or tiles on a floor.

Nine is a square number because three times three equals nine.

mathematics

exponentiation

Raising to a power

product · factor · integer · root · radical · algebra · computation · arithmetic · operation · area

examples

four

Number after three

thirty-six · forty-nine · sixty-four · eighty-one · hundred · one · four hundred

properties

symmetry

Invariance under transformation

pattern · orderliness · uniformity · completeness · wholeness · divisibility · parity · distribution · density · spacing

Categories
Opposites
mathematical structure

square numberprime number

Integer with two divisors

prime · triangular number · irrational number · surd · Fibonacci number

Family

number, square, squarely, squared, squaring, squarer, squarest, squareness, squarish

Familiarity
Top 200,000
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Known to kids · Used worldwide · Timeless · Rated G