# 3136

## 3,136 is an even composite number composed of two prime numbers multiplied together.

What does the number 3136 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 21 divisors.

3136 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-one divisors.

## Prime factorization of 3136:

### 26 × 72

(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7)

See below for interesting mathematical facts about the number 3136 from the Numbermatics database.

### Names of 3136

• Cardinal: 3136 can be written as Three thousand, one hundred thirty-six.

### Scientific notation

• Scientific notation: 3.136 × 103

### Factors of 3136

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 9

### Divisors of 3136

• Number of divisors d(n): 21
• Complete list of divisors:
• Sum of all divisors σ(n): 7239
• Sum of proper divisors (its aliquot sum) s(n): 4103
• 3136 is an abundant number, because the sum of its proper divisors (4103) is greater than itself. Its abundance is 967

### Bases of 3136

• Binary: 1100010000002
• Base-36: 2F4

### Squares and roots of 3136

• 3136 squared (31362) is 9834496
• 3136 cubed (31363) is 30840979456
• 3136 is a perfect square number. Its square root is 56
• The cube root of 3136 is 14.6372228401

### Scales and comparisons

How big is 3136?
• 3,136 seconds is equal to 52 minutes, 16 seconds.
• To count from 1 to 3,136 would take you about fifty-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 3136 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3136

• 3136 backwards is 6313
• The number of decimal digits it has is: 4
• The sum of 3136's digits is 13
• More coming soon!