# 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!