Number reference

0 explained.

0: zero, zero; factors, prime factorization, roots, binary, hexadecimal, and digit properties.

Identity and representations

Written form
zero
Classification
zero
Factors
Prime factorization
0
Square root
0
Cube root
0
Binary
0
Octal
0
Hexadecimal
0
Roman numeral
—
Digit sum
0
Digital root
0

0 in everyday use

Zero is the additive identity: adding it to any number leaves that number unchanged. It is neither prime nor composite, and as a placeholder digit it is what makes positional notation work — without it, 105 and 15 could not be told apart.

Nearby numbers

How to read this page

Zero behaves differently from every other entry in this set: it has no prime factorisation, every integer divides it, and dividing by it is undefined. The base representations still apply, which is why it is kept in the reference.

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