# 13365

## 13,365 is an odd composite number composed of three prime numbers multiplied together.

What does the number 13365 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

13365 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 13365:

### 35 × 5 × 11

(3 × 3 × 3 × 3 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 13365 from the Numbermatics database.

### Names of 13365

• Cardinal: 13365 can be written as Thirteen thousand, three hundred sixty-five.

### Scientific notation

• Scientific notation: 1.3365 × 104

### Factors of 13365

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 19

### Divisors of 13365

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 26208
• Sum of proper divisors (its aliquot sum) s(n): 12843
• 13365 is a deficient number, because the sum of its proper divisors (12843) is less than itself. Its deficiency is 522

### Bases of 13365

• Binary: 110100001101012
• Base-36: AB9

### Squares and roots of 13365

• 13365 squared (133652) is 178623225
• 13365 cubed (133653) is 2387299402125
• The square root of 13365 is 115.6070932079
• The cube root of 13365 is 23.7313796803

### Scales and comparisons

How big is 13365?
• 13,365 seconds is equal to 3 hours, 42 minutes, 45 seconds.
• To count from 1 to 13,365 would take you about three hours.

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 13365 cubic inches would be around 2 feet tall.

### Recreational maths with 13365

• 13365 backwards is 56331
• The number of decimal digits it has is: 5
• The sum of 13365's digits is 18
• More coming soon!