# 2538

## 2,538 is an even composite number composed of three prime numbers multiplied together.

What does the number 2538 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

2538 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 2538:

### 2 × 33 × 47

(2 × 3 × 3 × 3 × 47)

See below for interesting mathematical facts about the number 2538 from the Numbermatics database.

### Names of 2538

• Cardinal: 2538 can be written as Two thousand, five hundred thirty-eight.

### Scientific notation

• Scientific notation: 2.538 × 103

### Factors of 2538

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 52

### Divisors of 2538

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 5760
• Sum of proper divisors (its aliquot sum) s(n): 3222
• 2538 is an abundant number, because the sum of its proper divisors (3222) is greater than itself. Its abundance is 684

### Bases of 2538

• Binary: 1001111010102
• Base-36: 1YI

### Squares and roots of 2538

• 2538 squared (25382) is 6441444
• 2538 cubed (25383) is 16348384872
• The square root of 2538 is 50.3785668713
• The cube root of 2538 is 13.6405078313

### Scales and comparisons

How big is 2538?
• 2,538 seconds is equal to 42 minutes, 18 seconds.
• To count from 1 to 2,538 would take you about forty-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 2538 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2538

• 2538 backwards is 8352
• 2538 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2538's digits is 18
• More coming soon!