4096

4,096 is an even composite number. It is composed of a single prime number multiplied by itself eleven times.

What does the number 4096 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 13 divisors.

4096 is an even composite number. It is composed of one distinct prime number multiplied by itself eleven times. It has a total of thirteen divisors.

Prime factorization of 4096:

212

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 4096 from the Numbermatics database.

Names of 4096

• Cardinal: 4096 can be written as Four thousand and ninety-six.

Scientific notation

• Scientific notation: 4.096 × 103

Factors of 4096

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2

Divisors of 4096

• Number of divisors d(n): 13
• Complete list of divisors:
• Sum of all divisors σ(n): 8191
• Sum of proper divisors (its aliquot sum) s(n): 4095
• 4096 is a deficient number, because the sum of its proper divisors (4095) is less than itself. Its deficiency is 1

Bases of 4096

• Binary: 10000000000002
• Base-36: 35S

Squares and roots of 4096

• 4096 squared (40962) is 16777216
• 4096 cubed (40963) is 68719476736
• 4096 is a perfect square number. Its square root is 64
• 4096 is a perfect cube number. Its cube root is 16

Scales and comparisons

How big is 4096?
• 4,096 seconds is equal to 8 minutes, 16 seconds.
• To count from 1 to 4,096 would take you about 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 4096 cubic inches would be around 1.3 feet tall.

Recreational maths with 4096

• 4096 backwards is 6904
• The number of decimal digits it has is: 4
• The sum of 4096's digits is 19
• More coming soon!

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