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The number 6989

6989 is a composite number with 4 divisors. Its prime factorisation is 29 × 241. Divisors (4): 1, 29, 241, 6989.

Number

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How to work it out

  1. 1

    What is special about 6989: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 241, the product of two primes.

  2. 2

    6989 is composite. Its prime factorisation is

    6989=29×2416989 = 29 \times 241
  3. 3

    The divisors add up to 7260; without 6989 itself that is 271, so 6989 is deficient (271 is less than 6989). Euler's totient φ(6989) = 6720 numbers up to 6989 share no factor with it.

  4. 4

    The digits of 6989 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6989 = 29 \times 241 \]

6989 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7260
Euler totient φ(n)6720
Square48846121
Cube341385539669
Square root83.600239
Digit sum / digital root32 / 5
Collatz steps to 1150
Scientific notation6.989 × 10310^{3}

6989 in other forms

FormValue
In wordssix thousand nine hundred and eighty-nine
Binary (base 2)1101101001101
Octal (base 8)15515
Hexadecimal (base 16)1B4D
Base 3100120212
As time6989 seconds = 1 h 56 min 29 s

Is 6989 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 5)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 4)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 6989 a prime number?

No. 6989 = 29 × 241, so it is divisible by 29.

What are the factors of 6989?

1, 29, 241, 6989.

What is 6989 in binary?

1101101001101 (hexadecimal 1B4D, octal 15515).

What is the square root of 6989?

About 83.6002.

Is 6989 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 6989?

6989 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 241, the product of two primes.

All about 6989

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