# 1029

## 1,029 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1029 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

1029 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1029:

### 3 × 73

(3 × 7 × 7 × 7)

See below for interesting mathematical facts about the number 1029 from the Numbermatics database.

### Names of 1029

• Cardinal: 1029 can be written as One thousand and twenty-nine.

### Scientific notation

• Scientific notation: 1.029 × 103

### Factors of 1029

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

### Divisors of 1029

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1600
• Sum of proper divisors (its aliquot sum) s(n): 571
• 1029 is a deficient number, because the sum of its proper divisors (571) is less than itself. Its deficiency is 458

### Bases of 1029

• Binary: 100000001012
• Base-36: SL

### Squares and roots of 1029

• 1029 squared (10292) is 1058841
• 1029 cubed (10293) is 1089547389
• The square root of 1029 is 32.0780298647
• The cube root of 1029 is 10.0957469923

### Scales and comparisons

How big is 1029?
• 1,029 seconds is equal to 17 minutes, 9 seconds.
• To count from 1 to 1,029 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 1029 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1029

• 1029 backwards is 9201
• The number of decimal digits it has is: 4
• The sum of 1029's digits is 12
• More coming soon!