# 6996

## 6,996 is an even composite number composed of four prime numbers multiplied together.

What does the number 6996 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

6996 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 6996:

### 22 × 3 × 11 × 53

(2 × 2 × 3 × 11 × 53)

See below for interesting mathematical facts about the number 6996 from the Numbermatics database.

### Names of 6996

• Cardinal: 6996 can be written as Six thousand, nine hundred ninety-six.

### Scientific notation

• Scientific notation: 6.996 × 103

### Factors of 6996

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 69

### Divisors of 6996

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 18144
• Sum of proper divisors (its aliquot sum) s(n): 11148
• 6996 is an abundant number, because the sum of its proper divisors (11148) is greater than itself. Its abundance is 4152

### Bases of 6996

• Binary: 11011010101002
• Base-36: 5EC

### Squares and roots of 6996

• 6996 squared (69962) is 48944016
• 6996 cubed (69963) is 342412335936
• The square root of 6996 is 83.6420946653
• The cube root of 6996 is 19.1256674551

### Scales and comparisons

How big is 6996?
• 6,996 seconds is equal to 56 minutes, 36 seconds.
• To count from 1 to 6,996 would take you about fifty-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 6996 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6996

• 6996 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 4
• The sum of 6996's digits is 30
• More coming soon!