# 735

## 735 is an odd composite number composed of three prime numbers multiplied together.

What does the number 735 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

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

## Prime factorization of 735:

### 3 × 5 × 72

(3 × 5 × 7 × 7)

See below for interesting mathematical facts about the number 735 from the Numbermatics database.

### Names of 735

• Cardinal: 735 can be written as Seven hundred thirty-five.

### Scientific notation

• Scientific notation: 7.35 × 102

### Factors of 735

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 15

### Divisors of 735

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1368
• Sum of proper divisors (its aliquot sum) s(n): 633
• 735 is a deficient number, because the sum of its proper divisors (633) is less than itself. Its deficiency is 102

### Bases of 735

• Binary: 10110111112
• Base-36: KF

### Squares and roots of 735

• 735 squared (7352) is 540225
• 735 cubed (7353) is 397065375
• The square root of 735 is 27.1108834235
• The cube root of 735 is 9.0246239257

### Scales and comparisons

How big is 735?
• 735 seconds is equal to 12 minutes, 15 seconds.
• To count from 1 to 735 would take you about six 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 735 cubic inches would be around 0.8 feet tall.

### Recreational maths with 735

• 735 backwards is 537
• 735 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 735's digits is 15
• More coming soon!