4001

Names of 4001

• Cardinal: 4001 can be written as Four thousand and one.

Scientific notation

• Scientific notation: 4.001 × 10³

Factors of 4001

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4001

Divisors of 4001

• Number of divisors d(n): 2
• Complete list of divisors:
  1 4001
• Sum of all divisors σ(n): 4002
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4001 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4000

Bases of 4001

• Binary: 111110100001₂
• Hexadecimal: 0xFA1
• Base-36: 335

Squares and roots of 4001

• 4001 squared (4001²) is 16008001
• 4001 cubed (4001³) is 64048012001
• The square root of 4001 is 63.2534584035
• The cube root of 4001 is 15.8753332437

Scales and comparisons

• 4,001 seconds is equal to 1 hour, 6 minutes, 41 seconds.
• To count from 1 to 4,001 would take you about six 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 4001 cubic inches would be around 1.3 feet tall.

Recreational maths with 4001

• 4001 backwards is 1004
• 4001 is a twin prime! Its twin is 4003
• The number of decimal digits it has is: 4
• The sum of 4001's digits is 5
• More coming soon!