The number 6874
6874 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 491. Divisors (8): 1, 2, 7, 14, 491, 982, 3437, 6874.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6874 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6874 is composite. Its prime factorisation is
- 3
The divisors add up to 11808; without 6874 itself that is 4934, so 6874 is deficient (4934 is less than 6874). Euler's totient φ(6874) = 2940 numbers up to 6874 share no factor with it.
- 4
The digits of 6874 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
\[ 6874 = 2 \times 7 \times 491 \]
6874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11808 |
| Euler totient φ(n) | 2940 |
| Square | 47251876 |
| Cube | 324809395624 |
| Square root | 82.909589 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 6.874 × |
6874 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and seventy-four |
| Binary (base 2) | 1101011011010 |
| Octal (base 8) | 15332 |
| Hexadecimal (base 16) | 1ADA |
| Base 3 | 100102121 |
| As time | 6874 seconds = 1 h 54 min 34 s |
Is 6874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6874 ÷ 2 = 3437) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6874 ÷ 7 = 982) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6874 a prime number?
No. 6874 = 2 × 7 × 491, so it is divisible by 2.
What are the factors of 6874?
1, 2, 7, 14, 491, 982, 3437, 6874.
What is 6874 in binary?
1101011011010 (hexadecimal 1ADA, octal 15332).
What is the square root of 6874?
About 82.9096.
Is 6874 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 6874?
It is a composite number with 8 divisors.