# 1741

## 1,741 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 1741 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

1741 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1741:

### 1741

See below for interesting mathematical facts about the number 1741 from the Numbermatics database.

### Names of 1741

• Cardinal: 1741 can be written as One thousand, seven hundred forty-one.

### Scientific notation

• Scientific notation: 1.741 × 103

### Factors of 1741

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1741

### Divisors of 1741

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1742
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1741 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1740

### Bases of 1741

• Binary: 110110011012
• Base-36: 1CD

### Squares and roots of 1741

• 1741 squared (17412) is 3031081
• 1741 cubed (17413) is 5277112021
• The square root of 1741 is 41.7252920901
• The cube root of 1741 is 12.0300174425

### Scales and comparisons

How big is 1741?
• 1,741 seconds is equal to 29 minutes, 1 second.
• To count from 1 to 1,741 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 1741 cubic inches would be around 1 feet tall.

### Recreational maths with 1741

• 1741 backwards is 1471
• The number of decimal digits it has is: 4
• The sum of 1741's digits is 13
• More coming soon!