2023

Names of 2023

• Cardinal: 2023 can be written as Two thousand and twenty-three.

Scientific notation

• Scientific notation: 2.023 × 10³

Factors of 2023

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 24

Divisors of 2023

• Number of divisors d(n): 6
• Complete list of divisors:
  1 7 17 119 289 2023
• Sum of all divisors σ(n): 2456
• Sum of proper divisors (its aliquot sum) s(n): 433
• 2023 is a deficient number, because the sum of its proper divisors (433) is less than itself. Its deficiency is 1590

Bases of 2023

• Binary: 11111100111₂
• Hexadecimal: 0x7E7
• Base-36: 1K7

Squares and roots of 2023

• 2023 squared (2023²) is 4092529
• 2023 cubed (2023³) is 8279186167
• The square root of 2023 is 44.9777722881
• The cube root of 2023 is 12.6473235079

Scales and comparisons

• 2,023 seconds is equal to 33 minutes, 43 seconds.
• To count from 1 to 2,023 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 2023 cubic inches would be around 1.1 feet tall.

Recreational maths with 2023

• 2023 backwards is 3202
• 2023 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2023's digits is 7
• More coming soon!