The number 968
968 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
968 is composite. Its prime factorisation is
- 3
The divisors add up to 1995; without 968 itself that is 1027, so 968 is abundant (1027 is more than 968). Euler's totient φ(968) = 440 numbers up to 968 share no factor with it.
- 4
The digits of 968 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 968 = 2^{3} \times 11^{2} \]968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1995 |
| Euler totient φ(n) | 440 |
| Square | 937024 |
| Cube | 907039232 |
| Square root | 31.112698 (= 22√2) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 98 |
| Scientific notation | 9.68 × |
968 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and sixty-eight |
| Roman numerals | CMLXVIII |
| Binary (base 2) | 1111001000 |
| Octal (base 8) | 1710 |
| Hexadecimal (base 16) | 3C8 |
| Base 3 | 1022212 |
| As time | 968 seconds = 16 min 8 s |
Is 968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (968 ÷ 2 = 484) | 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 (968 ÷ 4 = 242) | 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 2) | 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 (968 ÷ 8 = 121) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (968 ÷ 11 = 88) | 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 968 a prime number?
No. 968 = × , so it is divisible by 2.
What are the factors of 968?
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968.
What is 968 in binary?
1111001000 (hexadecimal 3C8, octal 1710).
What is the square root of 968?
About 31.1127, exactly 22√2.
What is 968 in Roman numerals?
CMLXVIII.
Is 968 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 968?
It is a composite number with 12 divisors.