# 7002

## 7,002 is an even composite number composed of three prime numbers multiplied together.

What does the number 7002 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

7002 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 7002:

### 2 × 32 × 389

(2 × 3 × 3 × 389)

See below for interesting mathematical facts about the number 7002 from the Numbermatics database.

### Names of 7002

• Cardinal: 7002 can be written as Seven thousand and two.

### Scientific notation

• Scientific notation: 7.002 × 103

### Factors of 7002

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 394

### Divisors of 7002

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 15210
• Sum of proper divisors (its aliquot sum) s(n): 8208
• 7002 is an abundant number, because the sum of its proper divisors (8208) is greater than itself. Its abundance is 1206

### Bases of 7002

• Binary: 11011010110102
• Base-36: 5EI

### Squares and roots of 7002

• 7002 squared (70022) is 49028004
• 7002 cubed (70023) is 343294084008
• The square root of 7002 is 83.6779540859
• The cube root of 7002 is 19.1311334935

### Scales and comparisons

How big is 7002?
• 7,002 seconds is equal to 1 hour, 56 minutes, 42 seconds.
• To count from 1 to 7,002 would take you about fifty-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 7002 cubic inches would be around 1.6 feet tall.

### Recreational maths with 7002

• 7002 backwards is 2007
• 7002 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 7002's digits is 9
• More coming soon!