# 802

## 802 is an even composite number composed of two prime numbers multiplied together.

What does the number 802 look like?

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

802 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 802:

### 2 × 401

See below for interesting mathematical facts about the number 802 from the Numbermatics database.

### Names of 802

• Cardinal: 802 can be written as Eight hundred two.

### Scientific notation

• Scientific notation: 8.02 × 102

### Factors of 802

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 403

### Divisors of 802

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 1206
• Sum of proper divisors (its aliquot sum) s(n): 404
• 802 is a deficient number, because the sum of its proper divisors (404) is less than itself. Its deficiency is 398

### Bases of 802

• Binary: 11001000102
• Base-36: MA

### Squares and roots of 802

• 802 squared (8022) is 643204
• 802 cubed (8023) is 515849608
• The square root of 802 is 28.3196045171
• The cube root of 802 is 9.2909072109

### Scales and comparisons

How big is 802?
• 802 seconds is equal to 13 minutes, 22 seconds.
• To count from 1 to 802 would take you about 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 802 cubic inches would be around 0.8 feet tall.

### Recreational maths with 802

• 802 backwards is 208
• The number of decimal digits it has is: 3
• The sum of 802's digits is 10
• More coming soon!