The number 12168
12168 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72 … 12168.
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How to work it out
- 1
What is special about 12168: a Harshad number: divisible by its digit sum 18.
- 2
12168 is composite. Its prime factorisation is
- 3
The divisors add up to 35685; without 12168 itself that is 23517, so 12168 is abundant (23517 is more than 12168). Euler's totient φ(12168) = 3744 numbers up to 12168 share no factor with it.
- 4
The digits of 12168 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12168 = 2^{3} \times 3^{2} \times 13^{2} \]12168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 35685 |
| Euler totient φ(n) | 3744 |
| Square | 148060224 |
| Cube | 1801596805632 |
| Square root | 110.308658 (= 78√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 1.2168 × |
12168 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and sixty-eight |
| Binary (base 2) | 10111110001000 |
| Octal (base 8) | 27610 |
| Hexadecimal (base 16) | 2F88 |
| Base 3 | 121200200 |
| As time | 12168 seconds = 3 h 22 min 48 s |
Is 12168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12168 ÷ 2 = 6084) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12168 ÷ 3 = 4056) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12168 ÷ 4 = 3042) | 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 (12168 ÷ 6 = 2028) | 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 (12168 ÷ 8 = 1521) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12168 ÷ 9 = 1352) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12168 ÷ 12 = 1014) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12168 a prime number?
No. 12168 = × × , so it is divisible by 2.
What are the factors of 12168?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 169, 234, 312, 338, 468, 507, 676, 936, 1014, 1352, 1521, 2028, 3042, 4056, 6084, 12168.
What is 12168 in binary?
10111110001000 (hexadecimal 2F88, octal 27610).
What is the square root of 12168?
About 110.3087, exactly 78√2.
Is 12168 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12168?
12168 is a Harshad number: divisible by its digit sum 18.