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The number 6879

6879 is a composite number with 4 divisors. Its prime factorisation is 3 × 2293. Divisors (4): 1, 3, 2293, 6879.

Number

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How to work it out

  1. 1

    What is special about 6879: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 2293, the product of two primes.

  2. 2

    6879 is composite. Its prime factorisation is

    6879=3×22936879 = 3 \times 2293
  3. 3

    The divisors add up to 9176; without 6879 itself that is 2297, so 6879 is deficient (2297 is less than 6879). Euler's totient φ(6879) = 4584 numbers up to 6879 share no factor with it.

  4. 4

    The digits of 6879 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6879 = 3 \times 2293 \]

6879 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors9176
Euler totient φ(n)4584
Square47320641
Cube325518689439
Square root82.939737
Digit sum / digital root30 / 3
Collatz steps to 1150
Scientific notation6.879 × 10310^{3}

6879 in other forms

FormValue
In wordssix thousand eight hundred and seventy-nine
Binary (base 2)1101011011111
Octal (base 8)15337
Hexadecimal (base 16)1ADF
Base 3100102210
As time6879 seconds = 1 h 54 min 39 s

Is 6879 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).
3Yes (6879 ÷ 3 = 2293)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 6879 a prime number?

No. 6879 = 3 × 2293, so it is divisible by 3.

What are the factors of 6879?

1, 3, 2293, 6879.

What is 6879 in binary?

1101011011111 (hexadecimal 1ADF, octal 15337).

What is the square root of 6879?

About 82.9397.

Is 6879 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 6879?

6879 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 2293, the product of two primes.

All about 6879

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