# 972

## 972 is an even composite number composed of two prime numbers multiplied together.

What does the number 972 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

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

## Prime factorization of 972:

### 22 × 35

(2 × 2 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 972 from the Numbermatics database.

### Names of 972

• Cardinal: 972 can be written as Nine hundred seventy-two.

### Scientific notation

• Scientific notation: 9.72 × 102

### Factors of 972

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 5

### Divisors of 972

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 2548
• Sum of proper divisors (its aliquot sum) s(n): 1576
• 972 is an abundant number, because the sum of its proper divisors (1576) is greater than itself. Its abundance is 604

### Bases of 972

• Binary: 11110011002
• Base-36: R0

### Squares and roots of 972

• 972 squared (9722) is 944784
• 972 cubed (9723) is 918330048
• The square root of 972 is 31.1769145363
• The cube root of 972 is 9.9057817467

### Scales and comparisons

How big is 972?
• 972 seconds is equal to 16 minutes, 12 seconds.
• To count from 1 to 972 would take you about 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 972 cubic inches would be around 0.8 feet tall.

### Recreational maths with 972

• 972 backwards is 279
• 972 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 972's digits is 18
• More coming soon!