# 902

## 902 is an even composite number composed of three prime numbers multiplied together.

What does the number 902 look like?

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

902 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 902:

### 2 × 11 × 41

See below for interesting mathematical facts about the number 902 from the Numbermatics database.

### Names of 902

• Cardinal: 902 can be written as Nine hundred two.

### Scientific notation

• Scientific notation: 9.02 × 102

### Factors of 902

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 54

### Divisors of 902

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1512
• Sum of proper divisors (its aliquot sum) s(n): 610
• 902 is a deficient number, because the sum of its proper divisors (610) is less than itself. Its deficiency is 292

### Bases of 902

• Binary: 11100001102
• Base-36: P2

### Squares and roots of 902

• 902 squared (9022) is 813604
• 902 cubed (9023) is 733870808
• The square root of 902 is 30.0333148355
• The cube root of 902 is 9.6620403281

### Scales and comparisons

How big is 902?
• 902 seconds is equal to 15 minutes, 2 seconds.
• To count from 1 to 902 would take you about seven 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 902 cubic inches would be around 0.8 feet tall.

### Recreational maths with 902

• 902 backwards is 209
• 902 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 902's digits is 11
• More coming soon!