# 10431

## 10,431 is an odd composite number composed of three prime numbers multiplied together.

What does the number 10431 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

10431 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 10431:

### 32 × 19 × 61

(3 × 3 × 19 × 61)

See below for interesting mathematical facts about the number 10431 from the Numbermatics database.

### Names of 10431

• Cardinal: 10431 can be written as Ten thousand, four hundred thirty-one.

### Scientific notation

• Scientific notation: 1.0431 × 104

### Factors of 10431

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 83

### Divisors of 10431

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 16120
• Sum of proper divisors (its aliquot sum) s(n): 5689
• 10431 is a deficient number, because the sum of its proper divisors (5689) is less than itself. Its deficiency is 4742

### Bases of 10431

• Binary: 101000101111112
• Base-36: 81R

### Squares and roots of 10431

• 10431 squared (104312) is 108805761
• 10431 cubed (104313) is 1134952892991
• The square root of 10431 is 102.1322671833
• The cube root of 10431 is 21.8495240835

### Scales and comparisons

How big is 10431?
• 10,431 seconds is equal to 2 hours, 53 minutes, 51 seconds.
• To count from 1 to 10,431 would take you about two 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 10431 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10431

• 10431 backwards is 13401
• 10431 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10431's digits is 9
• More coming soon!