# 1125

## 1,125 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1125 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

1125 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1125:

### 32 × 53

(3 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 1125 from the Numbermatics database.

### Names of 1125

• Cardinal: 1125 can be written as One thousand, one hundred twenty-five.

### Scientific notation

• Scientific notation: 1.125 × 103

### Factors of 1125

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 8

### Divisors of 1125

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 2028
• Sum of proper divisors (its aliquot sum) s(n): 903
• 1125 is a deficient number, because the sum of its proper divisors (903) is less than itself. Its deficiency is 222

### Bases of 1125

• Binary: 100011001012
• Base-36: V9

### Squares and roots of 1125

• 1125 squared (11252) is 1265625
• 1125 cubed (11253) is 1423828125
• The square root of 1125 is 33.5410196625
• The cube root of 1125 is 10.4004191153

### Scales and comparisons

How big is 1125?
• 1,125 seconds is equal to 18 minutes, 45 seconds.
• To count from 1 to 1,125 would take you about eighteen 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 1125 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1125

• 1125 backwards is 5211
• 1125 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1125's digits is 9
• More coming soon!