# 3998

## 3,998 is an even composite number composed of two prime numbers multiplied together.

What does the number 3998 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

3998 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 3998:

### 2 × 1999

See below for interesting mathematical facts about the number 3998 from the Numbermatics database.

### Names of 3998

• Cardinal: 3998 can be written as Three thousand, nine hundred ninety-eight.

### Scientific notation

• Scientific notation: 3.998 × 103

### Factors of 3998

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 2001

### Divisors of 3998

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 6000
• Sum of proper divisors (its aliquot sum) s(n): 2002
• 3998 is a deficient number, because the sum of its proper divisors (2002) is less than itself. Its deficiency is 1996

### Bases of 3998

• Binary: 1111100111102
• Base-36: 332

### Squares and roots of 3998

• 3998 squared (39982) is 15984004
• 3998 cubed (39983) is 63904047992
• The square root of 3998 is 63.2297398381
• The cube root of 3998 is 15.8713644101

### Scales and comparisons

How big is 3998?
• 3,998 seconds is equal to 1 hour, 6 minutes, 38 seconds.
• To count from 1 to 3,998 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 3998 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3998

• 3998 backwards is 8993
• The number of decimal digits it has is: 4
• The sum of 3998's digits is 29
• More coming soon!