# 1004

## 1,004 is an even composite number composed of two prime numbers multiplied together.

What does the number 1004 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

1004 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 1004:

### 22 × 251

(2 × 2 × 251)

See below for interesting mathematical facts about the number 1004 from the Numbermatics database.

### Names of 1004

• Cardinal: 1004 can be written as One thousand and four.

### Scientific notation

• Scientific notation: 1.004 × 103

### Factors of 1004

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 253

### Divisors of 1004

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 1764
• Sum of proper divisors (its aliquot sum) s(n): 760
• 1004 is a deficient number, because the sum of its proper divisors (760) is less than itself. Its deficiency is 244

### Bases of 1004

• Binary: 11111011002
• Base-36: RW

### Squares and roots of 1004

• 1004 squared (10042) is 1008016
• 1004 cubed (10043) is 1012048064
• The square root of 1004 is 31.6859590355
• The cube root of 1004 is 10.0133155949

### Scales and comparisons

How big is 1004?
• 1,004 seconds is equal to 16 minutes, 44 seconds.
• To count from 1 to 1,004 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 1004 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1004

• 1004 backwards is 4001
• The number of decimal digits it has is: 4
• The sum of 1004's digits is 5
• More coming soon!