# 5301

## 5,301 is an odd composite number composed of three prime numbers multiplied together.

What does the number 5301 look like?

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

5301 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 5301:

### 32 × 19 × 31

(3 × 3 × 19 × 31)

See below for interesting mathematical facts about the number 5301 from the Numbermatics database.

### Names of 5301

• Cardinal: 5301 can be written as Five thousand, three hundred one.

### Scientific notation

• Scientific notation: 5.301 × 103

### Factors of 5301

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 53

### Divisors of 5301

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 8320
• Sum of proper divisors (its aliquot sum) s(n): 3019
• 5301 is a deficient number, because the sum of its proper divisors (3019) is less than itself. Its deficiency is 2282

### Bases of 5301

• Binary: 10100101101012
• Base-36: 439

### Squares and roots of 5301

• 5301 squared (53012) is 28100601
• 5301 cubed (53013) is 148961285901
• The square root of 5301 is 72.8079665969
• The cube root of 5301 is 17.4362304931

### Scales and comparisons

How big is 5301?
• 5,301 seconds is equal to 1 hour, 28 minutes, 21 seconds.
• To count from 1 to 5,301 would take you about twenty-eight 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 5301 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5301

• 5301 backwards is 1035
• 5301 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5301's digits is 9
• More coming soon!