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The number 27989

27989 is a composite number with 4 divisors. Its prime factorisation is 13 × 2153. Divisors (4): 1, 13, 2153, 27989.

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How to work it out

  1. 1

    What is special about 27989: a semiprime: 13 × 2153, the product of two primes.

  2. 2

    27989 is composite. Its prime factorisation is

    27989=13×215327989 = 13 \times 2153
  3. 3

    The divisors add up to 30156; without 27989 itself that is 2167, so 27989 is deficient (2167 is less than 27989). Euler's totient φ(27989) = 25824 numbers up to 27989 share no factor with it.

  4. 4

    The digits of 27989 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27989 = 13 \times 2153 \]

27989 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors30156
Euler totient φ(n)25824
Square783384121
Cube21926138162669
Square root167.299133
Digit sum / digital root35 / 8
Collatz steps to 1121
Scientific notation2.7989 × 10410^{4}

27989 in other forms

FormValue
In wordstwenty-seven thousand nine hundred and eighty-nine
Binary (base 2)110110101010101
Octal (base 8)66525
Hexadecimal (base 16)6D55
Base 31102101122
As time27989 seconds = 7 h 46 min 29 s

Is 27989 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 4)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 8)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 5)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 27989 a prime number?

No. 27989 = 13 × 2153, so it is divisible by 13.

What are the factors of 27989?

1, 13, 2153, 27989.

What is 27989 in binary?

110110101010101 (hexadecimal 6D55, octal 66525).

What is the square root of 27989?

About 167.2991.

Is 27989 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 27989?

27989 is a semiprime: 13 × 2153, the product of two primes.

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