# 4007

## 4,007 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 4007 look like?

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

4007 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4007:

### 4007

See below for interesting mathematical facts about the number 4007 from the Numbermatics database.

### Names of 4007

• Cardinal: 4007 can be written as Four thousand and seven.

### Scientific notation

• Scientific notation: 4.007 × 103

### Factors of 4007

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4007

### Divisors of 4007

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4008
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4007 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4006

### Bases of 4007

• Binary: 1111101001112
• Base-36: 33B

### Squares and roots of 4007

• 4007 squared (40072) is 16056049
• 4007 cubed (40073) is 64336588343
• The square root of 4007 is 63.3008688723
• The cube root of 4007 is 15.8832649629

### Scales and comparisons

How big is 4007?
• 4,007 seconds is equal to 1 hour, 6 minutes, 47 seconds.
• To count from 1 to 4,007 would take you about 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 4007 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4007

• 4007 backwards is 7004
• The number of decimal digits it has is: 4
• The sum of 4007's digits is 11
• More coming soon!