# 1048

## 1,048 is an even composite number composed of two prime numbers multiplied together.

What does the number 1048 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

1048 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1048:

### 23 × 131

(2 × 2 × 2 × 131)

See below for interesting mathematical facts about the number 1048 from the Numbermatics database.

### Names of 1048

• Cardinal: 1048 can be written as One thousand and forty-eight.

### Scientific notation

• Scientific notation: 1.048 × 103

### Factors of 1048

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 133

### Divisors of 1048

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1980
• Sum of proper divisors (its aliquot sum) s(n): 932
• 1048 is a deficient number, because the sum of its proper divisors (932) is less than itself. Its deficiency is 116

### Bases of 1048

• Binary: 100000110002
• Base-36: T4

### Squares and roots of 1048

• 1048 squared (10482) is 1098304
• 1048 cubed (10483) is 1151022592
• The square root of 1048 is 32.3728281125
• The cube root of 1048 is 10.1575061563

### Scales and comparisons

How big is 1048?
• 1,048 seconds is equal to 17 minutes, 28 seconds.
• To count from 1 to 1,048 would take you about seventeen minutes.

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 1048 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1048

• 1048 backwards is 8401
• The number of decimal digits it has is: 4
• The sum of 1048's digits is 13
• More coming soon!