The number 16968
16968 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 101. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 101 … 16968.
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How to work it out
- 1
16968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16968 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 16968 itself that is 31992, so 16968 is abundant (31992 is more than 16968). Euler's totient φ(16968) = 4800 numbers up to 16968 share no factor with it.
- 4
The digits of 16968 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16968 = 2^{3} \times 3 \times 7 \times 101 \]16968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 4800 |
| Square | 287913024 |
| Cube | 4885308191232 |
| Square root | 130.261276 (= 2√4242) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6968 × |
16968 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and sixty-eight |
| Binary (base 2) | 100001001001000 |
| Octal (base 8) | 41110 |
| Hexadecimal (base 16) | 4248 |
| Base 3 | 212021110 |
| As time | 16968 seconds = 4 h 42 min 48 s |
Is 16968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16968 ÷ 2 = 8484) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16968 ÷ 3 = 5656) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16968 ÷ 4 = 4242) | 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 | Yes (16968 ÷ 6 = 2828) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16968 ÷ 7 = 2424) | 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 (16968 ÷ 8 = 2121) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16968 ÷ 12 = 1414) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16968 a prime number?
No. 16968 = × 3 × 7 × 101, so it is divisible by 2.
What are the factors of 16968?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 101, 168, 202, 303, 404, 606, 707, 808, 1212, 1414, 2121, 2424, 2828, 4242, 5656, 8484, 16968.
What is 16968 in binary?
100001001001000 (hexadecimal 4248, octal 41110).
What is the square root of 16968?
About 130.2613, exactly 2√4242.
Is 16968 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 16968?
It is a composite number with 32 divisors.