4004

Names of 4004

• Cardinal: 4004 can be written as Four thousand and four.

Scientific notation

• Scientific notation: 4.004 × 10³

Factors of 4004

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 33

Divisors of 4004

• Number of divisors d(n): 24
• Complete list of divisors:
  1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004
• Sum of all divisors σ(n): 9408
• Sum of proper divisors (its aliquot sum) s(n): 5404
• 4004 is an abundant number, because the sum of its proper divisors (5404) is greater than itself. Its abundance is 1400

Bases of 4004

• Binary: 111110100100₂
• Hexadecimal: 0xFA4
• Base-36: 338

Squares and roots of 4004

• 4004 squared (4004²) is 16032016
• 4004 cubed (4004³) is 64192192064
• The square root of 4004 is 63.2771680781
• The cube root of 4004 is 15.8793000937

Scales and comparisons

• 4,004 seconds is equal to 1 hour, 6 minutes, 44 seconds.
• To count from 1 to 4,004 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 4004 cubic inches would be around 1.3 feet tall.

Recreational maths with 4004

• 4004 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 4
• The sum of 4004's digits is 8
• More coming soon!