# 1744

## 1,744 is an even composite number composed of two prime numbers multiplied together.

What does the number 1744 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

1744 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 1744:

### 24 × 109

(2 × 2 × 2 × 2 × 109)

See below for interesting mathematical facts about the number 1744 from the Numbermatics database.

### Names of 1744

• Cardinal: 1744 can be written as One thousand, seven hundred forty-four.

### Scientific notation

• Scientific notation: 1.744 × 103

### Factors of 1744

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 111

### Divisors of 1744

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 3410
• Sum of proper divisors (its aliquot sum) s(n): 1666
• 1744 is a deficient number, because the sum of its proper divisors (1666) is less than itself. Its deficiency is 78

### Bases of 1744

• Binary: 110110100002
• Base-36: 1CG

### Squares and roots of 1744

• 1744 squared (17442) is 3041536
• 1744 cubed (17443) is 5304438784
• The square root of 1744 is 41.7612260357
• The cube root of 1744 is 12.0369233097

### Scales and comparisons

How big is 1744?
• 1,744 seconds is equal to 29 minutes, 4 seconds.
• To count from 1 to 1,744 would take you about twenty-nine 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 1744 cubic inches would be around 1 feet tall.

### Recreational maths with 1744

• 1744 backwards is 4471
• 1744 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1744's digits is 16
• More coming soon!