# 10048

## 10,048 is an even composite number composed of two prime numbers multiplied together.

What does the number 10048 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

10048 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

## Prime factorization of 10048:

### 26 × 157

(2 × 2 × 2 × 2 × 2 × 2 × 157)

See below for interesting mathematical facts about the number 10048 from the Numbermatics database.

### Names of 10048

• Cardinal: 10048 can be written as Ten thousand and forty-eight.

### Scientific notation

• Scientific notation: 1.0048 × 104

### Factors of 10048

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 159

### Divisors of 10048

• Number of divisors d(n): 14
• Complete list of divisors:
• Sum of all divisors σ(n): 20066
• Sum of proper divisors (its aliquot sum) s(n): 10018
• 10048 is a deficient number, because the sum of its proper divisors (10018) is less than itself. Its deficiency is 30

### Bases of 10048

• Binary: 100111010000002
• Base-36: 7R4

### Squares and roots of 10048

• 10048 squared (100482) is 100962304
• 10048 cubed (100483) is 1014469230592
• The square root of 10048 is 100.2397126891
• The cube root of 10048 is 21.5787628485

### Scales and comparisons

How big is 10048?
• 10,048 seconds is equal to 2 hours, 47 minutes, 28 seconds.
• To count from 1 to 10,048 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 10048 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10048

• 10048 backwards is 84001
• The number of decimal digits it has is: 5
• The sum of 10048's digits is 13
• More coming soon!