# 1007

## 1,007 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1007 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

1007 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 1007:

### 19 × 53

See below for interesting mathematical facts about the number 1007 from the Numbermatics database.

### Names of 1007

• Cardinal: 1007 can be written as One thousand and seven.

### Scientific notation

• Scientific notation: 1.007 × 103

### Factors of 1007

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 72

### Divisors of 1007

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 1080
• Sum of proper divisors (its aliquot sum) s(n): 73
• 1007 is a deficient number, because the sum of its proper divisors (73) is less than itself. Its deficiency is 934

### Bases of 1007

• Binary: 11111011112
• Base-36: RZ

### Squares and roots of 1007

• 1007 squared (10072) is 1014049
• 1007 cubed (10073) is 1021147343
• The square root of 1007 is 31.7332633053
• The cube root of 1007 is 10.0232790997

### Scales and comparisons

How big is 1007?
• 1,007 seconds is equal to 16 minutes, 47 seconds.
• To count from 1 to 1,007 would take you about sixteen 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 1007 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1007

• 1007 backwards is 7001
• The number of decimal digits it has is: 4
• The sum of 1007's digits is 8
• More coming soon!