# 441

## 441 is an odd composite number composed of two prime numbers multiplied together.

What does the number 441 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 9 divisors.

441 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of nine divisors.

## Prime factorization of 441:

### 32 × 72

(3 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 441 from the Numbermatics database.

### Names of 441

• Cardinal: 441 can be written as Four hundred forty-one.

### Scientific notation

• Scientific notation: 4.41 × 102

### Factors of 441

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 10

### Divisors of 441

• Number of divisors d(n): 9
• Complete list of divisors:
• Sum of all divisors σ(n): 741
• Sum of proper divisors (its aliquot sum) s(n): 300
• 441 is a deficient number, because the sum of its proper divisors (300) is less than itself. Its deficiency is 141

### Bases of 441

• Binary: 1101110012
• Base-36: C9

### Squares and roots of 441

• 441 squared (4412) is 194481
• 441 cubed (4413) is 85766121
• 441 is a perfect square number. Its square root is 21
• The cube root of 441 is 7.6116626109

### Scales and comparisons

How big is 441?
• 441 seconds is equal to 7 minutes, 21 seconds.
• To count from 1 to 441 would take you about three 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 441 cubic inches would be around 0.6 feet tall.

### Recreational maths with 441

• 441 backwards is 144
• 441 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 441's digits is 9
• More coming soon!