The number 13668
13668 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 67. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 67, 68, 102, 134, 201, 204, 268 … 13668.
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How to work it out
- 1
13668 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13668 is composite. Its prime factorisation is
- 3
The divisors add up to 34272; without 13668 itself that is 20604, so 13668 is abundant (20604 is more than 13668). Euler's totient φ(13668) = 4224 numbers up to 13668 share no factor with it.
- 4
The digits of 13668 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13668 = 2^{2} \times 3 \times 17 \times 67 \]13668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34272 |
| Euler totient φ(n) | 4224 |
| Square | 186814224 |
| Cube | 2553376813632 |
| Square root | 116.910222 (= 2√3417) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3668 × |
13668 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and sixty-eight |
| Binary (base 2) | 11010101100100 |
| Octal (base 8) | 32544 |
| Hexadecimal (base 16) | 3564 |
| Base 3 | 200202020 |
| As time | 13668 seconds = 3 h 47 min 48 s |
Is 13668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13668 ÷ 2 = 6834) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13668 ÷ 3 = 4556) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13668 ÷ 4 = 3417) | 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 (13668 ÷ 6 = 2278) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (13668 ÷ 12 = 1139) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13668 a prime number?
No. 13668 = × 3 × 17 × 67, so it is divisible by 2.
What are the factors of 13668?
1, 2, 3, 4, 6, 12, 17, 34, 51, 67, 68, 102, 134, 201, 204, 268, 402, 804, 1139, 2278, 3417, 4556, 6834, 13668.
What is 13668 in binary?
11010101100100 (hexadecimal 3564, octal 32544).
What is the square root of 13668?
About 116.9102, exactly 2√3417.
Is 13668 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13668?
It is a composite number with 24 divisors.