# 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!