# 1772

## 1,772 is an even composite number composed of two prime numbers multiplied together.

What does the number 1772 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

1772 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 1772:

### 22 × 443

(2 × 2 × 443)

See below for interesting mathematical facts about the number 1772 from the Numbermatics database.

### Names of 1772

• Cardinal: 1772 can be written as One thousand, seven hundred seventy-two.

### Scientific notation

• Scientific notation: 1.772 × 103

### Factors of 1772

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 445

### Divisors of 1772

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 3108
• Sum of proper divisors (its aliquot sum) s(n): 1336
• 1772 is a deficient number, because the sum of its proper divisors (1336) is less than itself. Its deficiency is 436

### Bases of 1772

• Binary: 110111011002
• Base-36: 1D8

### Squares and roots of 1772

• 1772 squared (17722) is 3139984
• 1772 cubed (17723) is 5564051648
• The square root of 1772 is 42.0951303595
• The cube root of 1772 is 12.1009993939

### Scales and comparisons

How big is 1772?
• 1,772 seconds is equal to 29 minutes, 32 seconds.
• To count from 1 to 1,772 would take you about twenty-nine 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 1772 cubic inches would be around 1 feet tall.

### Recreational maths with 1772

• 1772 backwards is 2771
• The number of decimal digits it has is: 4
• The sum of 1772's digits is 17
• More coming soon!