# 6997

## 6,997 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 6997 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

6997 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 6997:

### 6997

See below for interesting mathematical facts about the number 6997 from the Numbermatics database.

### Names of 6997

• Cardinal: 6997 can be written as Six thousand, nine hundred ninety-seven.

### Scientific notation

• Scientific notation: 6.997 × 103

### Factors of 6997

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 6997

### Divisors of 6997

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 6998
• Sum of proper divisors (its aliquot sum) s(n): 1
• 6997 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 6996

### Bases of 6997

• Binary: 11011010101012
• Base-36: 5ED

### Squares and roots of 6997

• 6997 squared (69972) is 48958009
• 6997 cubed (69973) is 342559188973
• The square root of 6997 is 83.6480723031
• The cube root of 6997 is 19.1265786785

### Scales and comparisons

How big is 6997?
• 6,997 seconds is equal to 1 hour, 56 minutes, 37 seconds.
• To count from 1 to 6,997 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 6997 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6997

• 6997 backwards is 7996
• The number of decimal digits it has is: 4
• The sum of 6997's digits is 31
• More coming soon!