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The number 6982

6982 is a composite number with 4 divisors. Its prime factorisation is 2 × 3491. Divisors (4): 1, 2, 3491, 6982.

Number

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How to work it out

  1. 1

    What is special about 6982: a semiprime: 2 × 3491, the product of two primes.

  2. 2

    6982 is composite. Its prime factorisation is

    6982=2×34916982 = 2 \times 3491
  3. 3

    The divisors add up to 10476; without 6982 itself that is 3494, so 6982 is deficient (3494 is less than 6982). Euler's totient φ(6982) = 3490 numbers up to 6982 share no factor with it.

  4. 4

    The digits of 6982 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6982 = 2 \times 3491 \]

6982 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors10476
Euler totient φ(n)3490
Square48748324
Cube340360798168
Square root83.558363
Digit sum / digital root25 / 7
Collatz steps to 1150
Scientific notation6.982 × 10310^{3}

6982 in other forms

FormValue
In wordssix thousand nine hundred and eighty-two
Binary (base 2)1101101000110
Octal (base 8)15506
Hexadecimal (base 16)1B46
Base 3100120121
As time6982 seconds = 1 h 56 min 22 s

Is 6982 divisible by 2 to 12?

DivisorAnswerRule
2Yes (6982 ÷ 2 = 3491)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 2)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 4)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 6)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 6982 a prime number?

No. 6982 = 2 × 3491, so it is divisible by 2.

What are the factors of 6982?

1, 2, 3491, 6982.

What is 6982 in binary?

1101101000110 (hexadecimal 1B46, octal 15506).

What is the square root of 6982?

About 83.5584.

Is 6982 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 6982?

6982 is a semiprime: 2 × 3491, the product of two primes.

All about 6982

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