# 12623

## 12,623 is an odd composite number composed of two prime numbers multiplied together.

What does the number 12623 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

12623 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 12623:

### 13 × 971

See below for interesting mathematical facts about the number 12623 from the Numbermatics database.

### Names of 12623

• Cardinal: 12623 can be written as Twelve thousand, six hundred twenty-three.

### Scientific notation

• Scientific notation: 1.2623 × 104

### Factors of 12623

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 984

### Divisors of 12623

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 13608
• Sum of proper divisors (its aliquot sum) s(n): 985
• 12623 is a deficient number, because the sum of its proper divisors (985) is less than itself. Its deficiency is 11638

### Bases of 12623

• Binary: 110001010011112
• Base-36: 9QN

### Squares and roots of 12623

• 12623 squared (126232) is 159340129
• 12623 cubed (126233) is 2011350448367
• The square root of 12623 is 112.3521250355
• The cube root of 12623 is 23.2838179005

### Scales and comparisons

How big is 12623?
• 12,623 seconds is equal to 3 hours, 30 minutes, 23 seconds.
• To count from 1 to 12,623 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 12623 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12623

• 12623 backwards is 32621
• The number of decimal digits it has is: 5
• The sum of 12623's digits is 14
• More coming soon!