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The number 8989

8989 is a composite number with 4 divisors. Its prime factorisation is 89 × 101. Divisors (4): 1, 89, 101, 8989.

Number

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How to work it out

  1. 1

    What is special about 8989: a semiprime: 89 × 101, the product of two primes.

  2. 2

    8989 is composite. Its prime factorisation is

    8989=89×1018989 = 89 \times 101
  3. 3

    The divisors add up to 9180; without 8989 itself that is 191, so 8989 is deficient (191 is less than 8989). Euler's totient φ(8989) = 8800 numbers up to 8989 share no factor with it.

  4. 4

    The digits of 8989 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8989 = 89 \times 101 \]

8989 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors9180
Euler totient φ(n)8800
Square80802121
Cube726330265669
Square root94.810337
Digit sum / digital root34 / 7
Collatz steps to 178
Scientific notation8.989 × 10310^{3}

8989 in other forms

FormValue
In wordseight thousand nine hundred and eighty-nine
Binary (base 2)10001100011101
Octal (base 8)21435
Hexadecimal (base 16)231D
Base 3110022221
As time8989 seconds = 2 h 29 min 49 s

Is 8989 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 1)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 7)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 2)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 8989 a prime number?

No. 8989 = 89 × 101, so it is divisible by 89.

What are the factors of 8989?

1, 89, 101, 8989.

What is 8989 in binary?

10001100011101 (hexadecimal 231D, octal 21435).

What is the square root of 8989?

About 94.8103.

Is 8989 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 8989?

8989 is a semiprime: 89 × 101, the product of two primes.

All about 8989

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