# 12826

## 12,826 is an even composite number composed of three prime numbers multiplied together.

What does the number 12826 look like?

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

12826 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 12826:

### 2 × 112 × 53

(2 × 11 × 11 × 53)

See below for interesting mathematical facts about the number 12826 from the Numbermatics database.

### Names of 12826

• Cardinal: 12826 can be written as Twelve thousand, eight hundred twenty-six.

### Scientific notation

• Scientific notation: 1.2826 × 104

### Factors of 12826

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 66

### Divisors of 12826

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 21546
• Sum of proper divisors (its aliquot sum) s(n): 8720
• 12826 is a deficient number, because the sum of its proper divisors (8720) is less than itself. Its deficiency is 4106

### Bases of 12826

• Binary: 110010000110102
• Base-36: 9WA

### Squares and roots of 12826

• 12826 squared (128262) is 164506276
• 12826 cubed (128263) is 2109957495976
• The square root of 12826 is 113.2519315509
• The cube root of 12826 is 23.4079696233

### Scales and comparisons

How big is 12826?
• 12,826 seconds is equal to 3 hours, 33 minutes, 46 seconds.
• To count from 1 to 12,826 would take you about three 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 12826 cubic inches would be around 2 feet tall.

### Recreational maths with 12826

• 12826 backwards is 62821
• The number of decimal digits it has is: 5
• The sum of 12826's digits is 19
• More coming soon!