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The number 27641

27641 is a composite number with 4 divisors. Its prime factorisation is 131 × 211. Divisors (4): 1, 131, 211, 27641.

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How to work it out

  1. 1

    What is special about 27641: a semiprime: 131 × 211, the product of two primes.

  2. 2

    27641 is composite. Its prime factorisation is

    27641=131×21127641 = 131 \times 211
  3. 3

    The divisors add up to 27984; without 27641 itself that is 343, so 27641 is deficient (343 is less than 27641). Euler's totient φ(27641) = 27300 numbers up to 27641 share no factor with it.

  4. 4

    The digits of 27641 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 165 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27641 = 131 \times 211 \]

27641 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors27984
Euler totient φ(n)27300
Square764024881
Cube21118411735721
Square root166.255827
Digit sum / digital root20 / 2
Collatz steps to 1165
Scientific notation2.7641 × 10410^{4}

27641 in other forms

FormValue
In wordstwenty-seven thousand six hundred and forty-one
Binary (base 2)110101111111001
Octal (base 8)65771
Hexadecimal (base 16)6BF9
Base 31101220202
As time27641 seconds = 7 h 40 min 41 s

Is 27641 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 5)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 1)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 9)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 27641 a prime number?

No. 27641 = 131 × 211, so it is divisible by 131.

What are the factors of 27641?

1, 131, 211, 27641.

What is 27641 in binary?

110101111111001 (hexadecimal 6BF9, octal 65771).

What is the square root of 27641?

About 166.2558.

Is 27641 divisible by 3?

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

What is special about the number 27641?

27641 is a semiprime: 131 × 211, the product of two primes.

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