# 1656

## 1,656 is an even composite number composed of three prime numbers multiplied together.

What does the number 1656 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1656 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1656:

### 23 × 32 × 23

(2 × 2 × 2 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 1656 from the Numbermatics database.

### Names of 1656

• Cardinal: 1656 can be written as One thousand, six hundred fifty-six.

### Scientific notation

• Scientific notation: 1.656 × 103

### Factors of 1656

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 28

### Divisors of 1656

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 4680
• Sum of proper divisors (its aliquot sum) s(n): 3024
• 1656 is an abundant number, because the sum of its proper divisors (3024) is greater than itself. Its abundance is 1368

### Bases of 1656

• Binary: 110011110002
• Base-36: 1A0

### Squares and roots of 1656

• 1656 squared (16562) is 2742336
• 1656 cubed (16563) is 4541308416
• The square root of 1656 is 40.6939798989
• The cube root of 1656 is 11.8309633993

### Scales and comparisons

How big is 1656?
• 1,656 seconds is equal to 27 minutes, 36 seconds.
• To count from 1 to 1,656 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 1656 cubic inches would be around 1 feet tall.

### Recreational maths with 1656

• 1656 backwards is 6561
• 1656 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1656's digits is 18
• More coming soon!