The number 17968
17968 is a composite number with 10 divisors. Its prime factorisation is × 1123. Divisors (10): 1, 2, 4, 8, 16, 1123, 2246, 4492, 8984, 17968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17968 is composite. Its prime factorisation is
- 3
The divisors add up to 34844; without 17968 itself that is 16876, so 17968 is deficient (16876 is less than 17968). Euler's totient φ(17968) = 8976 numbers up to 17968 share no factor with it.
- 4
The digits of 17968 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17968 = 2^{4} \times 1123 \]17968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 34844 |
| Euler totient φ(n) | 8976 |
| Square | 322849024 |
| Cube | 5800951263232 |
| Square root | 134.044769 (= 4√1123) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7968 × |
17968 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and sixty-eight |
| Binary (base 2) | 100011000110000 |
| Octal (base 8) | 43060 |
| Hexadecimal (base 16) | 4630 |
| Base 3 | 220122111 |
| As time | 17968 seconds = 4 h 59 min 28 s |
Is 17968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17968 ÷ 2 = 8984) | 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 (17968 ÷ 4 = 4492) | 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 6) | 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 (17968 ÷ 8 = 2246) | 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 5) | 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 17968 a prime number?
No. 17968 = × 1123, so it is divisible by 2.
What are the factors of 17968?
1, 2, 4, 8, 16, 1123, 2246, 4492, 8984, 17968.
What is 17968 in binary?
100011000110000 (hexadecimal 4630, octal 43060).
What is the square root of 17968?
About 134.0448, exactly 4√1123.
Is 17968 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 17968?
It is a composite number with 10 divisors.