# 1006

## 1,006 is an even composite number composed of two prime numbers multiplied together.

What does the number 1006 look like?

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

1006 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 1006:

### 2 × 503

See below for interesting mathematical facts about the number 1006 from the Numbermatics database.

### Names of 1006

• Cardinal: 1006 can be written as One thousand and six.

### Scientific notation

• Scientific notation: 1.006 × 103

### Factors of 1006

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 505

### Divisors of 1006

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 1512
• Sum of proper divisors (its aliquot sum) s(n): 506
• 1006 is a deficient number, because the sum of its proper divisors (506) is less than itself. Its deficiency is 500

### Bases of 1006

• Binary: 11111011102
• Base-36: RY

### Squares and roots of 1006

• 1006 squared (10062) is 1012036
• 1006 cubed (10063) is 1018108216
• The square root of 1006 is 31.7175030543
• The cube root of 1006 is 10.0199601329

### Scales and comparisons

How big is 1006?
• 1,006 seconds is equal to 16 minutes, 46 seconds.
• To count from 1 to 1,006 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 1006 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1006

• 1006 backwards is 6001
• The number of decimal digits it has is: 4
• The sum of 1006's digits is 7
• More coming soon!