The number 6968
6968 is a composite number with 16 divisors. Its prime factorisation is × 13 × 67. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968.
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How to work it out
- 1
6968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6968 is composite. Its prime factorisation is
- 3
The divisors add up to 14280; without 6968 itself that is 7312, so 6968 is abundant (7312 is more than 6968). Euler's totient φ(6968) = 3168 numbers up to 6968 share no factor with it.
- 4
The digits of 6968 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6968 = 2^{3} \times 13 \times 67 \]6968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14280 |
| Euler totient φ(n) | 3168 |
| Square | 48553024 |
| Cube | 338317471232 |
| Square root | 83.474547 (= 2√1742) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.968 × |
6968 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and sixty-eight |
| Binary (base 2) | 1101100111000 |
| Octal (base 8) | 15470 |
| Hexadecimal (base 16) | 1B38 |
| Base 3 | 100120002 |
| As time | 6968 seconds = 1 h 56 min 8 s |
Is 6968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6968 ÷ 2 = 3484) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6968 ÷ 4 = 1742) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | Yes (6968 ÷ 8 = 871) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6968 a prime number?
No. 6968 = × 13 × 67, so it is divisible by 2.
What are the factors of 6968?
1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968.
What is 6968 in binary?
1101100111000 (hexadecimal 1B38, octal 15470).
What is the square root of 6968?
About 83.4745, exactly 2√1742.
Is 6968 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 6968?
It is a composite number with 16 divisors.