# 1053

## 1,053 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1053 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

1053 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 1053:

### 34 × 13

(3 × 3 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 1053 from the Numbermatics database.

### Names of 1053

• Cardinal: 1053 can be written as One thousand and fifty-three.

### Scientific notation

• Scientific notation: 1.053 × 103

### Factors of 1053

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 16

### Divisors of 1053

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 1694
• Sum of proper divisors (its aliquot sum) s(n): 641
• 1053 is a deficient number, because the sum of its proper divisors (641) is less than itself. Its deficiency is 412

### Bases of 1053

• Binary: 100000111012
• Base-36: T9

### Squares and roots of 1053

• 1053 squared (10532) is 1108809
• 1053 cubed (10533) is 1167575877
• The square root of 1053 is 32.4499614791
• The cube root of 1053 is 10.1736343291

### Scales and comparisons

How big is 1053?
• 1,053 seconds is equal to 17 minutes, 33 seconds.
• To count from 1 to 1,053 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 1053 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1053

• 1053 backwards is 3501
• 1053 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1053's digits is 9
• More coming soon!