The number 3168
3168 is a composite number with 36 divisors. Its prime factorisation is × × 11. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36 … 3168.
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How to work it out
- 1
What is special about 3168: a Harshad number: divisible by its digit sum 18.
- 2
3168 is composite. Its prime factorisation is
- 3
The divisors add up to 9828; without 3168 itself that is 6660, so 3168 is abundant (6660 is more than 3168). Euler's totient φ(3168) = 960 numbers up to 3168 share no factor with it.
- 4
The digits of 3168 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3168 = 2^{5} \times 3^{2} \times 11 \]3168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 9828 |
| Euler totient φ(n) | 960 |
| Square | 10036224 |
| Cube | 31794757632 |
| Square root | 56.284989 (= 12√22) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.168 × |
3168 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and sixty-eight |
| Roman numerals | MMMCLXVIII |
| Binary (base 2) | 110001100000 |
| Octal (base 8) | 6140 |
| Hexadecimal (base 16) | C60 |
| Base 3 | 11100100 |
| As time | 3168 seconds = 52 min 48 s |
Is 3168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3168 ÷ 2 = 1584) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3168 ÷ 3 = 1056) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3168 ÷ 4 = 792) | 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 (3168 ÷ 6 = 528) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (3168 ÷ 8 = 396) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3168 ÷ 9 = 352) | 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 (3168 ÷ 11 = 288) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3168 ÷ 12 = 264) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3168 a prime number?
No. 3168 = × × 11, so it is divisible by 2.
What are the factors of 3168?
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168.
What is 3168 in binary?
110001100000 (hexadecimal C60, octal 6140).
What is the square root of 3168?
About 56.2850, exactly 12√22.
What is 3168 in Roman numerals?
MMMCLXVIII.
Is 3168 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3168?
3168 is a Harshad number: divisible by its digit sum 18.