# 1054

## 1,054 is an even composite number composed of three prime numbers multiplied together.

What does the number 1054 look like?

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

1054 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 1054:

### 2 × 17 × 31

See below for interesting mathematical facts about the number 1054 from the Numbermatics database.

### Names of 1054

• Cardinal: 1054 can be written as One thousand and fifty-four.

### Scientific notation

• Scientific notation: 1.054 × 103

### Factors of 1054

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 50

### Divisors of 1054

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1728
• Sum of proper divisors (its aliquot sum) s(n): 674
• 1054 is a deficient number, because the sum of its proper divisors (674) is less than itself. Its deficiency is 380

### Bases of 1054

• Binary: 100000111102
• Base-36: TA

### Squares and roots of 1054

• 1054 squared (10542) is 1110916
• 1054 cubed (10543) is 1170905464
• The square root of 1054 is 32.4653661615
• The cube root of 1054 is 10.1768538339

### Scales and comparisons

How big is 1054?
• 1,054 seconds is equal to 17 minutes, 34 seconds.
• To count from 1 to 1,054 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 1054 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1054

• 1054 backwards is 4501
• The number of decimal digits it has is: 4
• The sum of 1054's digits is 10
• More coming soon!