# 1653

## 1,653 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1653 look like?

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

1653 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1653:

### 3 × 19 × 29

See below for interesting mathematical facts about the number 1653 from the Numbermatics database.

### Names of 1653

• Cardinal: 1653 can be written as One thousand, six hundred fifty-three.

### Scientific notation

• Scientific notation: 1.653 × 103

### Factors of 1653

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 51

### Divisors of 1653

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2400
• Sum of proper divisors (its aliquot sum) s(n): 747
• 1653 is a deficient number, because the sum of its proper divisors (747) is less than itself. Its deficiency is 906

### Bases of 1653

• Binary: 110011101012
• Base-36: 19X

### Squares and roots of 1653

• 1653 squared (16532) is 2732409
• 1653 cubed (16533) is 4516672077
• The square root of 1653 is 40.6571027005
• The cube root of 1653 is 11.8238147791

### Scales and comparisons

How big is 1653?
• 1,653 seconds is equal to 27 minutes, 33 seconds.
• To count from 1 to 1,653 would take you about twenty-seven 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 1653 cubic inches would be around 1 feet tall.

### Recreational maths with 1653

• 1653 backwards is 3561
• The number of decimal digits it has is: 4
• The sum of 1653's digits is 15
• More coming soon!