# 2663

## 2,663 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 2663 look like?

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

2663 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2663:

### 2663

See below for interesting mathematical facts about the number 2663 from the Numbermatics database.

### Names of 2663

• Cardinal: 2663 can be written as Two thousand, six hundred sixty-three.

### Scientific notation

• Scientific notation: 2.663 × 103

### Factors of 2663

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2663

### Divisors of 2663

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2664
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2663 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2662

### Bases of 2663

• Binary: 1010011001112
• Base-36: 21Z

### Squares and roots of 2663

• 2663 squared (26632) is 7091569
• 2663 cubed (26633) is 18884848247
• The square root of 2663 is 51.6042633897
• The cube root of 2663 is 13.8608667601

### Scales and comparisons

How big is 2663?
• 2,663 seconds is equal to 44 minutes, 23 seconds.
• To count from 1 to 2,663 would take you about forty-four 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 2663 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2663

• 2663 backwards is 3662
• The number of decimal digits it has is: 4
• The sum of 2663's digits is 17
• More coming soon!