6006

Names of 6006

• Cardinal: 6006 can be written as Six thousand and six.

Scientific notation

• Scientific notation: 6.006 × 10³

Factors of 6006

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 36

Divisors of 6006

• Number of divisors d(n): 32
• Complete list of divisors:
  1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006
• Sum of all divisors σ(n): 16128
• Sum of proper divisors (its aliquot sum) s(n): 10122
• 6006 is an abundant number, because the sum of its proper divisors (10122) is greater than itself. Its abundance is 4116

Bases of 6006

• Binary: 1011101110110₂
• Hexadecimal: 0x1776
• Base-36: 4MU

Squares and roots of 6006

• 6006 squared (6006²) is 36072036
• 6006 cubed (6006³) is 216648648216
• The square root of 6006 is 77.4983870801
• The cube root of 6006 is 18.1772609791

Scales and comparisons

• 6,006 seconds is equal to 1 hour, 40 minutes, 6 seconds.
• To count from 1 to 6,006 would take you about forty 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 6006 cubic inches would be around 1.5 feet tall.

Recreational maths with 6006

• 6006 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 6006's digits is 12
• More coming soon!