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The number 27563

27563 is a composite number with 4 divisors. Its prime factorisation is 43 × 641. Divisors (4): 1, 43, 641, 27563.

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How to work it out

  1. 1

    What is special about 27563: a semiprime: 43 × 641, the product of two primes.

  2. 2

    27563 is composite. Its prime factorisation is

    27563=43×64127563 = 43 \times 641
  3. 3

    The divisors add up to 28248; without 27563 itself that is 685, so 27563 is deficient (685 is less than 27563). Euler's totient φ(27563) = 26880 numbers up to 27563 share no factor with it.

  4. 4

    The digits of 27563 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27563 = 43 \times 641 \]

27563 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors28248
Euler totient φ(n)26880
Square759718969
Cube20940133942547
Square root166.021083
Digit sum / digital root23 / 5
Collatz steps to 159
Scientific notation2.7563 × 10410^{4}

27563 in other forms

FormValue
In wordstwenty-seven thousand five hundred and sixty-three
Binary (base 2)110101110101011
Octal (base 8)65653
Hexadecimal (base 16)6BAB
Base 31101210212
As time27563 seconds = 7 h 39 min 23 s

Is 27563 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 4)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27563 a prime number?

No. 27563 = 43 × 641, so it is divisible by 43.

What are the factors of 27563?

1, 43, 641, 27563.

What is 27563 in binary?

110101110101011 (hexadecimal 6BAB, octal 65653).

What is the square root of 27563?

About 166.0211.

Is 27563 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 27563?

27563 is a semiprime: 43 × 641, the product of two primes.

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