The number 8968
8968 is a composite number with 16 divisors. Its prime factorisation is × 19 × 59. Divisors (16): 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8968 is composite. Its prime factorisation is
- 3
The divisors add up to 18000; without 8968 itself that is 9032, so 8968 is abundant (9032 is more than 8968). Euler's totient φ(8968) = 4176 numbers up to 8968 share no factor with it.
- 4
The digits of 8968 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8968 = 2^{3} \times 19 \times 59 \]8968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18000 |
| Euler totient φ(n) | 4176 |
| Square | 80425024 |
| Cube | 721251615232 |
| Square root | 94.699525 (= 2√2242) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.968 × |
8968 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and sixty-eight |
| Binary (base 2) | 10001100001000 |
| Octal (base 8) | 21410 |
| Hexadecimal (base 16) | 2308 |
| Base 3 | 110022011 |
| As time | 8968 seconds = 2 h 29 min 28 s |
Is 8968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8968 ÷ 2 = 4484) | 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 | Yes (8968 ÷ 4 = 2242) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (8968 ÷ 8 = 1121) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8968 a prime number?
No. 8968 = × 19 × 59, so it is divisible by 2.
What are the factors of 8968?
1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968.
What is 8968 in binary?
10001100001000 (hexadecimal 2308, octal 21410).
What is the square root of 8968?
About 94.6995, exactly 2√2242.
Is 8968 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 8968?
It is a composite number with 16 divisors.