# 1901

## 1,901 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 1901 look like?

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

1901 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1901:

### 1901

See below for interesting mathematical facts about the number 1901 from the Numbermatics database.

### Names of 1901

• Cardinal: 1901 can be written as One thousand, nine hundred one.

### Scientific notation

• Scientific notation: 1.901 × 103

### Factors of 1901

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1901

### Divisors of 1901

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1902
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1901 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1900

### Bases of 1901

• Binary: 111011011012
• Base-36: 1GT

### Squares and roots of 1901

• 1901 squared (19012) is 3613801
• 1901 cubed (19013) is 6869835701
• The square root of 1901 is 43.6004587133
• The cube root of 1901 is 12.3877958315

### Scales and comparisons

How big is 1901?
• 1,901 seconds is equal to 31 minutes, 41 seconds.
• To count from 1 to 1,901 would take you about thirty-one 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 1901 cubic inches would be around 1 feet tall.

### Recreational maths with 1901

• 1901 backwards is 1091
• The number of decimal digits it has is: 4
• The sum of 1901's digits is 11
• More coming soon!

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The information we have on file for 1901 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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