9504

9,504 is an even composite number composed of three prime numbers multiplied together.

What does the number 9504 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

9504 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 9504:

25 × 33 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 9504 from the Numbermatics database.

Names of 9504

• Cardinal: 9504 can be written as Nine thousand, five hundred four.

Scientific notation

• Scientific notation: 9.504 × 103

Factors of 9504

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 16

Divisors of 9504

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 30240
• Sum of proper divisors (its aliquot sum) s(n): 20736
• 9504 is an abundant number, because the sum of its proper divisors (20736) is greater than itself. Its abundance is 11232

Bases of 9504

• Binary: 100101001000002
• Base-36: 7C0

Squares and roots of 9504

• 9504 squared (95042) is 90326016
• 9504 cubed (95043) is 858458456064
• The square root of 9504 is 97.4884608557
• The cube root of 9504 is 21.1820900119

Scales and comparisons

How big is 9504?
• 9,504 seconds is equal to 2 hours, 38 minutes, 24 seconds.
• To count from 1 to 9,504 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 9504 cubic inches would be around 1.8 feet tall.

Recreational maths with 9504

• 9504 backwards is 4059
• 9504 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 9504's digits is 18
• More coming soon!

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