# 1002

## 1,002 is an even composite number composed of three prime numbers multiplied together.

What does the number 1002 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1002 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1002:

### 2 × 3 × 167

See below for interesting mathematical facts about the number 1002 from the Numbermatics database.

### Names of 1002

• Cardinal: 1002 can be written as One thousand and two.

### Scientific notation

• Scientific notation: 1.002 × 103

### Factors of 1002

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 172

### Divisors of 1002

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2016
• Sum of proper divisors (its aliquot sum) s(n): 1014
• 1002 is an abundant number, because the sum of its proper divisors (1014) is greater than itself. Its abundance is 12

### Bases of 1002

• Binary: 11111010102
• Base-36: RU

### Squares and roots of 1002

• 1002 squared (10022) is 1004004
• 1002 cubed (10023) is 1006012008
• The square root of 1002 is 31.6543835827
• The cube root of 1002 is 10.0066622271

### Scales and comparisons

How big is 1002?
• 1,002 seconds is equal to 16 minutes, 42 seconds.
• To count from 1 to 1,002 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 1002 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1002

• 1002 backwards is 2001
• 1002 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1002's digits is 3
• More coming soon!