# 999

## 999 is an odd composite number composed of two prime numbers multiplied together.

What does the number 999 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

999 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 999:

### 33 × 37

(3 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 999 from the Numbermatics database.

### Names of 999

• Cardinal: 999 can be written as Nine hundred ninety-nine.

### Scientific notation

• Scientific notation: 9.99 × 102

### Factors of 999

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 40

### Divisors of 999

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1520
• Sum of proper divisors (its aliquot sum) s(n): 521
• 999 is a deficient number, because the sum of its proper divisors (521) is less than itself. Its deficiency is 478

### Bases of 999

• Binary: 11111001112
• Base-36: RR

### Squares and roots of 999

• 999 squared (9992) is 998001
• 999 cubed (9993) is 997002999
• The square root of 999 is 31.6069612585
• The cube root of 999 is 9.9966655549

### Scales and comparisons

How big is 999?
• 999 seconds is equal to 16 minutes, 39 seconds.
• To count from 1 to 999 would take you about eight minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 999 cubic inches would be around 0.8 feet tall.

### Recreational maths with 999

• 999 is the same when its digits are reversed! That makes it a palindromic number.
• 999 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 999's digits is 27
• More coming soon!