2006

Names of 2006

• Cardinal: 2006 can be written as Two thousand and six.

Scientific notation

• Scientific notation: 2.006 × 10³

Factors of 2006

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 78

Divisors of 2006

• Number of divisors d(n): 8
• Complete list of divisors:
  1 2 17 34 59 118 1003 2006
• Sum of all divisors σ(n): 3240
• Sum of proper divisors (its aliquot sum) s(n): 1234
• 2006 is a deficient number, because the sum of its proper divisors (1234) is less than itself. Its deficiency is 772

Bases of 2006

• Binary: 11111010110₂
• Hexadecimal: 0x7D6
• Base-36: 1JQ

Squares and roots of 2006

• 2006 squared (2006²) is 4024036
• 2006 cubed (2006³) is 8072216216
• The square root of 2006 is 44.7883913531
• The cube root of 2006 is 12.6117971311

Scales and comparisons

• 2,006 seconds is equal to 33 minutes, 26 seconds.
• To count from 1 to 2,006 would take you about thirty-three 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 2006 cubic inches would be around 1.1 feet tall.

Recreational maths with 2006

• 2006 backwards is 6002
• The number of decimal digits it has is: 4
• The sum of 2006's digits is 8
• More coming soon!