# 31828

## 31,828 is an even composite number composed of three prime numbers multiplied together.

What does the number 31828 look like?

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

31828 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 31828:

### 22 × 73 × 109

(2 × 2 × 73 × 109)

See below for interesting mathematical facts about the number 31828 from the Numbermatics database.

### Names of 31828

• Cardinal: 31828 can be written as Thirty-one thousand, eight hundred twenty-eight.

### Scientific notation

• Scientific notation: 3.1828 × 104

### Factors of 31828

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 184

### Divisors of 31828

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 56980
• Sum of proper divisors (its aliquot sum) s(n): 25152
• 31828 is a deficient number, because the sum of its proper divisors (25152) is less than itself. Its deficiency is 6676

### Bases of 31828

• Binary: 1111100010101002
• Base-36: OK4

### Squares and roots of 31828

• 31828 squared (318282) is 1013021584
• 31828 cubed (318283) is 32242450975552
• The square root of 31828 is 178.4040358289
• The cube root of 31828 is 31.6910369495

### Scales and comparisons

How big is 31828?
• 31,828 seconds is equal to 8 hours, 50 minutes, 28 seconds.
• To count from 1 to 31,828 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 31828 cubic inches would be around 2.6 feet tall.

### Recreational maths with 31828

• 31828 backwards is 82813
• The number of decimal digits it has is: 5
• The sum of 31828's digits is 22
• More coming soon!