# 1038

## 1,038 is an even composite number composed of three prime numbers multiplied together.

What does the number 1038 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1038 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1038:

### 2 × 3 × 173

See below for interesting mathematical facts about the number 1038 from the Numbermatics database.

### Names of 1038

• Cardinal: 1038 can be written as One thousand and thirty-eight.

### Scientific notation

• Scientific notation: 1.038 × 103

### Factors of 1038

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 178

### Divisors of 1038

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2088
• Sum of proper divisors (its aliquot sum) s(n): 1050
• 1038 is an abundant number, because the sum of its proper divisors (1050) is greater than itself. Its abundance is 12

### Bases of 1038

• Binary: 100000011102
• Base-36: SU

### Squares and roots of 1038

• 1038 squared (10382) is 1077444
• 1038 cubed (10383) is 1118386872
• The square root of 1038 is 32.2180073871
• The cube root of 1038 is 10.1250952589

### Scales and comparisons

How big is 1038?
• 1,038 seconds is equal to 17 minutes, 18 seconds.
• To count from 1 to 1,038 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 1038 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1038

• 1038 backwards is 8301
• The number of decimal digits it has is: 4
• The sum of 1038's digits is 12
• More coming soon!