# 7992

## 7,992 is an even composite number composed of three prime numbers multiplied together.

What does the number 7992 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

7992 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 7992:

### 23 × 33 × 37

(2 × 2 × 2 × 3 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 7992 from the Numbermatics database.

### Names of 7992

• Cardinal: 7992 can be written as Seven thousand, nine hundred ninety-two.

### Scientific notation

• Scientific notation: 7.992 × 103

### Factors of 7992

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 42

### Divisors of 7992

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 22800
• Sum of proper divisors (its aliquot sum) s(n): 14808
• 7992 is an abundant number, because the sum of its proper divisors (14808) is greater than itself. Its abundance is 6816

### Bases of 7992

• Binary: 11111001110002
• Base-36: 660

### Squares and roots of 7992

• 7992 squared (79922) is 63872064
• 7992 cubed (79923) is 510465535488
• The square root of 7992 is 89.3979865545
• The cube root of 7992 is 19.9933311097

### Scales and comparisons

How big is 7992?
• 7,992 seconds is equal to 2 hours, 13 minutes, 12 seconds.
• To count from 1 to 7,992 would take you about two hours.

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 7992 cubic inches would be around 1.7 feet tall.

### Recreational maths with 7992

• 7992 backwards is 2997
• 7992 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 7992's digits is 27
• More coming soon!