# 2401

## 2,401 is an odd composite number. It is composed of a single prime number multiplied by itself three times.

What does the number 2401 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 5 divisors.

2401 is an odd composite number. It is composed of one distinct prime number multiplied by itself three times. It has a total of five divisors.

## Prime factorization of 2401:

### 74

(7 × 7 × 7 × 7)

See below for interesting mathematical facts about the number 2401 from the Numbermatics database.

### Names of 2401

• Cardinal: 2401 can be written as Two thousand, four hundred one.

### Scientific notation

• Scientific notation: 2.401 × 103

### Factors of 2401

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 7

### Divisors of 2401

• Number of divisors d(n): 5
• Complete list of divisors:
• Sum of all divisors σ(n): 2801
• Sum of proper divisors (its aliquot sum) s(n): 400
• 2401 is a deficient number, because the sum of its proper divisors (400) is less than itself. Its deficiency is 2001

### Bases of 2401

• Binary: 1001011000012
• Base-36: 1UP

### Squares and roots of 2401

• 2401 squared (24012) is 5764801
• 2401 cubed (24013) is 13841287201
• 2401 is a perfect square number. Its square root is 49
• The cube root of 2401 is 13.3905182795

### Scales and comparisons

How big is 2401?
• 2,401 seconds is equal to 40 minutes, 1 second.
• To count from 1 to 2,401 would take you about forty 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 2401 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2401

• 2401 backwards is 1042
• 2401 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2401's digits is 7
• More coming soon!

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"Number 2401 - Facts about the integer". Numbermatics.com. 2023. Web. 9 June 2023.

APA style:
Numbermatics. (2023). Number 2401 - Facts about the integer. Retrieved 9 June 2023, from https://numbermatics.com/n/2401/

Chicago style:
Numbermatics. 2023. "Number 2401 - Facts about the integer". https://numbermatics.com/n/2401/

The information we have on file for 2401 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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