# 1956

## 1,956 is an even composite number composed of three prime numbers multiplied together.

What does the number 1956 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1956 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1956:

### 22 × 3 × 163

(2 × 2 × 3 × 163)

See below for interesting mathematical facts about the number 1956 from the Numbermatics database.

### Names of 1956

• Cardinal: 1956 can be written as One thousand, nine hundred fifty-six.

### Scientific notation

• Scientific notation: 1.956 × 103

### Factors of 1956

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 168

### Divisors of 1956

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4592
• Sum of proper divisors (its aliquot sum) s(n): 2636
• 1956 is an abundant number, because the sum of its proper divisors (2636) is greater than itself. Its abundance is 680

### Bases of 1956

• Binary: 111101001002
• Base-36: 1IC

### Squares and roots of 1956

• 1956 squared (19562) is 3825936
• 1956 cubed (19563) is 7483530816
• The square root of 1956 is 44.2266887751
• The cube root of 1956 is 12.5061303263

### Scales and comparisons

How big is 1956?
• 1,956 seconds is equal to 32 minutes, 36 seconds.
• To count from 1 to 1,956 would take you about thirty-two 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 1956 cubic inches would be around 1 feet tall.

### Recreational maths with 1956

• 1956 backwards is 6591
• The number of decimal digits it has is: 4
• The sum of 1956's digits is 21
• More coming soon!