972

Names of 972

• Cardinal: 972 can be written as Nine hundred seventy-two.

Scientific notation

• Scientific notation: 9.72 × 10²

Factors of 972

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 5

Divisors of 972

• Number of divisors d(n): 18
• Complete list of divisors:
  1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972
• Sum of all divisors σ(n): 2548
• Sum of proper divisors (its aliquot sum) s(n): 1576
• 972 is an abundant number, because the sum of its proper divisors (1576) is greater than itself. Its abundance is 604

Bases of 972

• Binary: 1111001100₂
• Hexadecimal: 0x3CC
• Base-36: R0

Squares and roots of 972

• 972 squared (972²) is 944784
• 972 cubed (972³) is 918330048
• The square root of 972 is 31.1769145363
• The cube root of 972 is 9.9057817467

Scales and comparisons

• 972 seconds is equal to 16 minutes, 12 seconds.
• To count from 1 to 972 would take you about eight 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 972 cubic inches would be around 0.8 feet tall.

Recreational maths with 972

• 972 backwards is 279
• 972 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 972's digits is 18
• More coming soon!