# 2039

## 2,039 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 2039 look like?

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

2039 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2039:

### 2039

See below for interesting mathematical facts about the number 2039 from the Numbermatics database.

### Names of 2039

• Cardinal: 2039 can be written as Two thousand and thirty-nine.

### Scientific notation

• Scientific notation: 2.039 × 103

### Factors of 2039

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2039

### Divisors of 2039

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2040
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2039 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2038

### Bases of 2039

• Binary: 111111101112
• Base-36: 1KN

### Squares and roots of 2039

• 2039 squared (20392) is 4157521
• 2039 cubed (20393) is 8477185319
• The square root of 2039 is 45.1552876195
• The cube root of 2039 is 12.6805787435

### Scales and comparisons

How big is 2039?
• 2,039 seconds is equal to 33 minutes, 59 seconds.
• To count from 1 to 2,039 would take you about thirty-three 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 2039 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2039

• 2039 backwards is 9302
• The number of decimal digits it has is: 4
• The sum of 2039's digits is 14
• More coming soon!

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