# 1681

## 1,681 is an odd composite number. It is composed of a single prime number multiplied by itself.

What does the number 1681 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 3 divisors.

1681 is an odd composite number. It has a total of three divisors.

## Prime factorization of 1681:

### 412

(41 × 41)

See below for interesting mathematical facts about the number 1681 from the Numbermatics database.

### Names of 1681

• Cardinal: 1681 can be written as One thousand, six hundred eighty-one.

### Scientific notation

• Scientific notation: 1.681 × 103

### Factors of 1681

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 41

### Divisors of 1681

• Number of divisors d(n): 3
• Complete list of divisors:
• Sum of all divisors σ(n): 1723
• Sum of proper divisors (its aliquot sum) s(n): 42
• 1681 is a deficient number, because the sum of its proper divisors (42) is less than itself. Its deficiency is 1639

### Bases of 1681

• Binary: 110100100012
• Base-36: 1AP

### Squares and roots of 1681

• 1681 squared (16812) is 2825761
• 1681 cubed (16813) is 4750104241
• 1681 is a perfect square number. Its square root is 41
• The cube root of 1681 is 11.8902021369

### Scales and comparisons

How big is 1681?
• 1,681 seconds is equal to 28 minutes, 1 second.
• To count from 1 to 1,681 would take you about twenty-eight 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 1681 cubic inches would be around 1 feet tall.

### Recreational maths with 1681

• 1681 backwards is 1861
• The number of decimal digits it has is: 4
• The sum of 1681's digits is 16
• More coming soon!