# 1729

## 1,729 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1729 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1729 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1729:

### 7 × 13 × 19

See below for interesting mathematical facts about the number 1729 from the Numbermatics database.

### Names of 1729

• Cardinal: 1729 can be written as One thousand, seven hundred twenty-nine.

### Scientific notation

• Scientific notation: 1.729 × 103

### Factors of 1729

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 39

### Divisors of 1729

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2240
• Sum of proper divisors (its aliquot sum) s(n): 511
• 1729 is a deficient number, because the sum of its proper divisors (511) is less than itself. Its deficiency is 1218

### Bases of 1729

• Binary: 110110000012
• Base-36: 1C1

### Squares and roots of 1729

• 1729 squared (17292) is 2989441
• 1729 cubed (17293) is 5168743489
• The square root of 1729 is 41.5812457723
• The cube root of 1729 is 12.0023143685

### Scales and comparisons

How big is 1729?
• 1,729 seconds is equal to 28 minutes, 49 seconds.
• To count from 1 to 1,729 would take you about twenty-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 1729 cubic inches would be around 1 feet tall.

### Recreational maths with 1729

• 1729 backwards is 9271
• 1729 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1729's digits is 19
• More coming soon!