Number reference

999 explained.

999: nine hundred ninety-nine, composite, repdigit; factors, prime factorization, roots, binary, hexadecimal, and digit properties.

Identity and representations

Written form
nine hundred ninety-nine
Classification
composite
Factors
1, 3, 9, 27, 37, 111, 333, 999
Prime factorization
3 × 3 × 3 × 37
Square root
31.606961
Cube root
9.996666
Binary
1111100111
Octal
1747
Hexadecimal
3E7
Roman numeral
CMXCIX
Digit sum
27
Digital root
9

What makes 999 notable

999 in everyday use

Nine hundred ninety-nine is the emergency telephone number in the United Kingdom, introduced in London in 1937 as the first such service in the world and chosen partly because the digit 9 could be dialled on a rotary phone in the dark by feeling for the finger stop. Ireland and several other countries adopted it too. On bullion, 999 marks gold or silver that is 99.9 percent pure, and 999-fine bars are the common investment grade. Prices ending in 999 are the largest form of charm pricing.

The number is 10³ − 1, and the recurring decimal 0.999… is exactly equal to 1, a fact that surprises many people and follows from 1/3 = 0.333… multiplied by three. It factors as 3³ × 37, with eight divisors, and 1/999 = 0.001001001…, which is why dividing by 999 repeats any three-digit block: 123/999 = 0.123123…. It is 1111100111 in binary and 3E7 in hexadecimal. Its digit sum is 27, which divides it, so it is a Harshad number.

Nearby numbers

How to read this page

The factor list shows every way 999 splits into equal whole-number groups — 8 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 999 for contexts that do not use decimal.

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