# 10353

## 10,353 is an odd composite number composed of four prime numbers multiplied together.

What does the number 10353 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

10353 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 10353:

### 3 × 7 × 17 × 29

See below for interesting mathematical facts about the number 10353 from the Numbermatics database.

### Names of 10353

• Cardinal: 10353 can be written as Ten thousand, three hundred fifty-three.

### Scientific notation

• Scientific notation: 1.0353 × 104

### Factors of 10353

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 56

### Divisors of 10353

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 17280
• Sum of proper divisors (its aliquot sum) s(n): 6927
• 10353 is a deficient number, because the sum of its proper divisors (6927) is less than itself. Its deficiency is 3426

### Bases of 10353

• Binary: 101000011100012
• Base-36: 7ZL

### Squares and roots of 10353

• 10353 squared (103532) is 107184609
• 10353 cubed (103533) is 1109682256977
• The square root of 10353 is 101.7496928743
• The cube root of 10353 is 21.7949262945

### Scales and comparisons

How big is 10353?
• 10,353 seconds is equal to 2 hours, 52 minutes, 33 seconds.
• To count from 1 to 10,353 would take you about two hours.

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 10353 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10353

• 10353 backwards is 35301
• The number of decimal digits it has is: 5
• The sum of 10353's digits is 12
• More coming soon!