# 3150

## 3,150 is an even composite number composed of four prime numbers multiplied together.

What does the number 3150 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

3150 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 3150:

### 2 × 32 × 52 × 7

(2 × 3 × 3 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 3150 from the Numbermatics database.

### Names of 3150

• Cardinal: 3150 can be written as Three thousand, one hundred fifty.

### Scientific notation

• Scientific notation: 3.15 × 103

### Factors of 3150

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 17

### Divisors of 3150

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 9672
• Sum of proper divisors (its aliquot sum) s(n): 6522
• 3150 is an abundant number, because the sum of its proper divisors (6522) is greater than itself. Its abundance is 3372

### Bases of 3150

• Binary: 1100010011102
• Base-36: 2FI

### Squares and roots of 3150

• 3150 squared (31502) is 9922500
• 3150 cubed (31503) is 31255875000
• The square root of 3150 is 56.1248608017
• The cube root of 3150 is 14.6589720887

### Scales and comparisons

How big is 3150?
• 3,150 seconds is equal to 52 minutes, 30 seconds.
• To count from 1 to 3,150 would take you about fifty-two 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 3150 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3150

• 3150 backwards is 0513
• 3150 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3150's digits is 9
• More coming soon!