The number 6984
6984 is a composite number with 24 divisors. Its prime factorisation is × × 97. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388 … 6984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6984 is composite. Its prime factorisation is
- 3
The divisors add up to 19110; without 6984 itself that is 12126, so 6984 is abundant (12126 is more than 6984). Euler's totient φ(6984) = 2304 numbers up to 6984 share no factor with it.
- 4
The digits of 6984 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6984 = 2^{3} \times 3^{2} \times 97 \]6984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 19110 |
| Euler totient φ(n) | 2304 |
| Square | 48776256 |
| Cube | 340653371904 |
| Square root | 83.570330 (= 6√194) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 6.984 × |
6984 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and eighty-four |
| Binary (base 2) | 1101101001000 |
| Octal (base 8) | 15510 |
| Hexadecimal (base 16) | 1B48 |
| Base 3 | 100120200 |
| As time | 6984 seconds = 1 h 56 min 24 s |
Is 6984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6984 ÷ 2 = 3492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6984 ÷ 3 = 2328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6984 ÷ 4 = 1746) | 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 | Yes (6984 ÷ 6 = 1164) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | Yes (6984 ÷ 8 = 873) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6984 ÷ 9 = 776) | 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 | Yes (6984 ÷ 12 = 582) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6984 a prime number?
No. 6984 = × × 97, so it is divisible by 2.
What are the factors of 6984?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984.
What is 6984 in binary?
1101101001000 (hexadecimal 1B48, octal 15510).
What is the square root of 6984?
About 83.5703, exactly 6√194.
Is 6984 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6984?
It is a composite number with 24 divisors.