# 1638

## 1,638 is an even composite number composed of four prime numbers multiplied together.

What does the number 1638 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

1638 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1638:

### 2 × 32 × 7 × 13

(2 × 3 × 3 × 7 × 13)

See below for interesting mathematical facts about the number 1638 from the Numbermatics database.

### Names of 1638

• Cardinal: 1638 can be written as One thousand, six hundred thirty-eight.

### Scientific notation

• Scientific notation: 1.638 × 103

### Factors of 1638

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 25

### Divisors of 1638

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 4368
• Sum of proper divisors (its aliquot sum) s(n): 2730
• 1638 is an abundant number, because the sum of its proper divisors (2730) is greater than itself. Its abundance is 1092

### Bases of 1638

• Binary: 110011001102
• Base-36: 19I

### Squares and roots of 1638

• 1638 squared (16382) is 2683044
• 1638 cubed (16383) is 4394826072
• The square root of 1638 is 40.4722126897
• The cube root of 1638 is 11.7879413343

### Scales and comparisons

How big is 1638?
• 1,638 seconds is equal to 27 minutes, 18 seconds.
• To count from 1 to 1,638 would take you about twenty-seven 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 1638 cubic inches would be around 1 feet tall.

### Recreational maths with 1638

• 1638 backwards is 8361
• 1638 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1638's digits is 18
• More coming soon!