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The number 27667

27667 is a composite number with 4 divisors. Its prime factorisation is 73 × 379. Divisors (4): 1, 73, 379, 27667.

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How to work it out

  1. 1

    What is special about 27667: a semiprime: 73 × 379, the product of two primes.

  2. 2

    27667 is composite. Its prime factorisation is

    27667=73×37927667 = 73 \times 379
  3. 3

    The divisors add up to 28120; without 27667 itself that is 453, so 27667 is deficient (453 is less than 27667). Euler's totient φ(27667) = 27216 numbers up to 27667 share no factor with it.

  4. 4

    The digits of 27667 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
\[ 27667 = 73 \times 379 \]

27667 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors28120
Euler totient φ(n)27216
Square765462889
Cube21178061749963
Square root166.334001
Digit sum / digital root28 / 1
Collatz steps to 190
Scientific notation2.7667 × 10410^{4}

27667 in other forms

FormValue
In wordstwenty-seven thousand six hundred and sixty-seven
Binary (base 2)110110000010011
Octal (base 8)66023
Hexadecimal (base 16)6C13
Base 31101221201
As time27667 seconds = 7 h 41 min 7 s

Is 27667 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 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 3)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 7)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27667 a prime number?

No. 27667 = 73 × 379, so it is divisible by 73.

What are the factors of 27667?

1, 73, 379, 27667.

What is 27667 in binary?

110110000010011 (hexadecimal 6C13, octal 66023).

What is the square root of 27667?

About 166.3340.

Is 27667 divisible by 3?

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

What is special about the number 27667?

27667 is a semiprime: 73 × 379, the product of two primes.

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