# 3999

## 3,999 is an odd composite number composed of three prime numbers multiplied together.

What does the number 3999 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

3999 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 3999:

### 3 × 31 × 43

See below for interesting mathematical facts about the number 3999 from the Numbermatics database.

### Names of 3999

• Cardinal: 3999 can be written as Three thousand, nine hundred ninety-nine.

### Scientific notation

• Scientific notation: 3.999 × 103

### Factors of 3999

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 77

### Divisors of 3999

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 5632
• Sum of proper divisors (its aliquot sum) s(n): 1633
• 3999 is a deficient number, because the sum of its proper divisors (1633) is less than itself. Its deficiency is 2366

### Bases of 3999

• Binary: 1111100111112
• Base-36: 333

### Squares and roots of 3999

• 3999 squared (39992) is 15992001
• 3999 cubed (39993) is 63952011999
• The square root of 3999 is 63.2376470151
• The cube root of 3999 is 15.8726875753

### Scales and comparisons

How big is 3999?
• 3,999 seconds is equal to 1 hour, 6 minutes, 39 seconds.
• To count from 1 to 3,999 would take you about six 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 3999 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3999

• 3999 backwards is 9993
• The number of decimal digits it has is: 4
• The sum of 3999's digits is 30
• More coming soon!