# 3001

## 3,001 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 3001 look like?

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

3001 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3001:

### 3001

See below for interesting mathematical facts about the number 3001 from the Numbermatics database.

### Names of 3001

• Cardinal: 3001 can be written as Three thousand and one.

### Scientific notation

• Scientific notation: 3.001 × 103

### Factors of 3001

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3001

### Divisors of 3001

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3002
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3001 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3000

### Bases of 3001

• Binary: 1011101110012
• Base-36: 2BD

### Squares and roots of 3001

• 3001 squared (30012) is 9006001
• 3001 cubed (30013) is 27027009001
• The square root of 3001 is 54.7813836993
• The cube root of 3001 is 14.4240980245

### Scales and comparisons

How big is 3001?
• 3,001 seconds is equal to 50 minutes, 1 second.
• To count from 1 to 3,001 would take you about fifty 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 3001 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3001

• 3001 backwards is 1003
• The number of decimal digits it has is: 4
• The sum of 3001's digits is 4
• More coming soon!