# 1031

## 1,031 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 1031 look like?

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

1031 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1031:

### 1031

See below for interesting mathematical facts about the number 1031 from the Numbermatics database.

### Names of 1031

• Cardinal: 1031 can be written as One thousand and thirty-one.

### Scientific notation

• Scientific notation: 1.031 × 103

### Factors of 1031

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1031

### Divisors of 1031

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1032
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1031 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1030

### Bases of 1031

• Binary: 100000001112
• Base-36: SN

### Squares and roots of 1031

• 1031 squared (10312) is 1062961
• 1031 cubed (10313) is 1095912791
• The square root of 1031 is 32.1091887161
• The cube root of 1031 is 10.1022835735

### Scales and comparisons

How big is 1031?
• 1,031 seconds is equal to 17 minutes, 11 seconds.
• To count from 1 to 1,031 would take you about seventeen 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 1031 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1031

• 1031 backwards is 1301
• 1031 is a twin prime! Its twin is 1033
• The number of decimal digits it has is: 4
• The sum of 1031's digits is 5
• More coming soon!