# 1035

## 1,035 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1035 look like?

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

1035 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 1035:

### 32 × 5 × 23

(3 × 3 × 5 × 23)

See below for interesting mathematical facts about the number 1035 from the Numbermatics database.

### Names of 1035

• Cardinal: 1035 can be written as One thousand and thirty-five.

### Scientific notation

• Scientific notation: 1.035 × 103

### Factors of 1035

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 31

### Divisors of 1035

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1872
• Sum of proper divisors (its aliquot sum) s(n): 837
• 1035 is a deficient number, because the sum of its proper divisors (837) is less than itself. Its deficiency is 198

### Bases of 1035

• Binary: 100000010112
• Base-36: SR

### Squares and roots of 1035

• 1035 squared (10352) is 1071225
• 1035 cubed (10353) is 1108717875
• The square root of 1035 is 32.1714158843
• The cube root of 1035 is 10.1153314195

### Scales and comparisons

How big is 1035?
• 1,035 seconds is equal to 17 minutes, 15 seconds.
• To count from 1 to 1,035 would take you about seventeen 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 1035 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1035

• 1035 backwards is 5301
• 1035 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1035's digits is 9
• More coming soon!