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The number 27821

27821 is a composite number with 4 divisors. Its prime factorisation is 43 × 647. Divisors (4): 1, 43, 647, 27821.

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How to work it out

  1. 1

    What is special about 27821: a semiprime: 43 × 647, the product of two primes.

  2. 2

    27821 is composite. Its prime factorisation is

    27821=43×64727821 = 43 \times 647
  3. 3

    The divisors add up to 28512; without 27821 itself that is 691, so 27821 is deficient (691 is less than 27821). Euler's totient φ(27821) = 27132 numbers up to 27821 share no factor with it.

  4. 4

    The digits of 27821 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27821 = 43 \times 647 \]

27821 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors28512
Euler totient φ(n)27132
Square774008041
Cube21533677708661
Square root166.796283
Digit sum / digital root20 / 2
Collatz steps to 1152
Scientific notation2.7821 × 10410^{4}

27821 in other forms

FormValue
In wordstwenty-seven thousand eight hundred and twenty-one
Binary (base 2)110110010101101
Octal (base 8)66255
Hexadecimal (base 16)6CAD
Base 31102011102
As time27821 seconds = 7 h 43 min 41 s

Is 27821 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27821 a prime number?

No. 27821 = 43 × 647, so it is divisible by 43.

What are the factors of 27821?

1, 43, 647, 27821.

What is 27821 in binary?

110110010101101 (hexadecimal 6CAD, octal 66255).

What is the square root of 27821?

About 166.7963.

Is 27821 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 27821?

27821 is a semiprime: 43 × 647, the product of two primes.

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