# 3167

## 3,167 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 3167 look like?

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

3167 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3167:

### 3167

See below for interesting mathematical facts about the number 3167 from the Numbermatics database.

### Names of 3167

• Cardinal: 3167 can be written as Three thousand, one hundred sixty-seven.

### Scientific notation

• Scientific notation: 3.167 × 103

### Factors of 3167

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3167

### Divisors of 3167

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3168
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3167 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3166

### Bases of 3167

• Binary: 1100010111112
• Base-36: 2FZ

### Squares and roots of 3167

• 3167 squared (31672) is 10029889
• 3167 cubed (31673) is 31764658463
• The square root of 3167 is 56.2761050533
• The cube root of 3167 is 14.6852954289

### Scales and comparisons

How big is 3167?
• 3,167 seconds is equal to 52 minutes, 47 seconds.
• To count from 1 to 3,167 would take you about fifty-two 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 3167 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3167

• 3167 backwards is 7613
• 3167 is a twin prime! Its twin is 3169
• The number of decimal digits it has is: 4
• The sum of 3167's digits is 17
• More coming soon!