# 31663

## 31,663 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 31663 look like?

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

31663 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 31663:

### 31663

See below for interesting mathematical facts about the number 31663 from the Numbermatics database.

### Names of 31663

• Cardinal: 31663 can be written as Thirty-one thousand, six hundred sixty-three.

### Scientific notation

• Scientific notation: 3.1663 × 104

### Factors of 31663

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 31663

### Divisors of 31663

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 31664
• Sum of proper divisors (its aliquot sum) s(n): 1
• 31663 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 31662

### Bases of 31663

• Binary: 1111011101011112
• Base-36: OFJ

### Squares and roots of 31663

• 31663 squared (316632) is 1002545569
• 31663 cubed (316633) is 31743600351247
• The square root of 31663 is 177.9410014583
• The cube root of 31663 is 31.6361787203

### Scales and comparisons

How big is 31663?
• 31,663 seconds is equal to 8 hours, 47 minutes, 43 seconds.
• To count from 1 to 31,663 would take you about eight hours.

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 31663 cubic inches would be around 2.6 feet tall.

### Recreational maths with 31663

• 31663 backwards is 36613
• The number of decimal digits it has is: 5
• The sum of 31663's digits is 19
• More coming soon!