# 3956

## 3,956 is an even composite number composed of three prime numbers multiplied together.

What does the number 3956 look like?

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

3956 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 3956:

### 22 × 23 × 43

(2 × 2 × 23 × 43)

See below for interesting mathematical facts about the number 3956 from the Numbermatics database.

### Names of 3956

• Cardinal: 3956 can be written as Three thousand, nine hundred fifty-six.

### Scientific notation

• Scientific notation: 3.956 × 103

### Factors of 3956

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 68

### Divisors of 3956

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 7392
• Sum of proper divisors (its aliquot sum) s(n): 3436
• 3956 is a deficient number, because the sum of its proper divisors (3436) is less than itself. Its deficiency is 520

### Bases of 3956

• Binary: 1111011101002
• Base-36: 31W

### Squares and roots of 3956

• 3956 squared (39562) is 15649936
• 3956 cubed (39563) is 61911146816
• The square root of 3956 is 62.8967407739
• The cube root of 3956 is 15.8155910833

### Scales and comparisons

How big is 3956?
• 3,956 seconds is equal to 1 hour, 5 minutes, 56 seconds.
• To count from 1 to 3,956 would take you about five 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 3956 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3956

• 3956 backwards is 6593
• 3956 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3956's digits is 23
• More coming soon!