# 10001

## 10,001 is an odd composite number composed of two prime numbers multiplied together.

What does the number 10001 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

10001 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 10001:

### 73 × 137

See below for interesting mathematical facts about the number 10001 from the Numbermatics database.

### Names of 10001

• Cardinal: 10001 can be written as Ten thousand and one.

### Scientific notation

• Scientific notation: 1.0001 × 104

### Factors of 10001

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 210

### Divisors of 10001

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 10212
• Sum of proper divisors (its aliquot sum) s(n): 211
• 10001 is a deficient number, because the sum of its proper divisors (211) is less than itself. Its deficiency is 9790

### Bases of 10001

• Binary: 100111000100012
• Base-36: 7PT

### Squares and roots of 10001

• 10001 squared (100012) is 100020001
• 10001 cubed (100013) is 1000300030001
• The square root of 10001 is 100.0049998751
• The cube root of 10001 is 21.5450650211

### Scales and comparisons

How big is 10001?
• 10,001 seconds is equal to 2 hours, 46 minutes, 41 seconds.
• To count from 1 to 10,001 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 10001 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10001

• 10001 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 5
• The sum of 10001's digits is 2
• More coming soon!