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The number 27649

27649 is a composite number with 4 divisors. Its prime factorisation is 43 × 643. Divisors (4): 1, 43, 643, 27649.

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How to work it out

  1. 1

    What is special about 27649: a semiprime: 43 × 643, the product of two primes.

  2. 2

    27649 is composite. Its prime factorisation is

    27649=43×64327649 = 43 \times 643
  3. 3

    The divisors add up to 28336; without 27649 itself that is 687, so 27649 is deficient (687 is less than 27649). Euler's totient φ(27649) = 26964 numbers up to 27649 share no factor with it.

  4. 4

    The digits of 27649 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27649 = 43 \times 643 \]

27649 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors28336
Euler totient φ(n)26964
Square764467201
Cube21136753640449
Square root166.279885
Digit sum / digital root28 / 1
Collatz steps to 190
Scientific notation2.7649 × 10410^{4}

27649 in other forms

FormValue
In wordstwenty-seven thousand six hundred and forty-nine
Binary (base 2)110110000000001
Octal (base 8)66001
Hexadecimal (base 16)6C01
Base 31101221001
As time27649 seconds = 7 h 40 min 49 s

Is 27649 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 1)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27649 a prime number?

No. 27649 = 43 × 643, so it is divisible by 43.

What are the factors of 27649?

1, 43, 643, 27649.

What is 27649 in binary?

110110000000001 (hexadecimal 6C01, octal 66001).

What is the square root of 27649?

About 166.2799.

Is 27649 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 27649?

27649 is a semiprime: 43 × 643, the product of two primes.

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    27649: is it prime? Factors, square root, binary, Roman numeral | WordGPT