The number 16368
16368 is a composite number with 40 divisors. Its prime factorisation is × 3 × 11 × 31. Divisors (40): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 31, 33, 44, 48, 62 … 16368.
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How to work it out
- 1
What is special about 16368: a Harshad number: divisible by its digit sum 24.
- 2
16368 is composite. Its prime factorisation is
- 3
The divisors add up to 47616; without 16368 itself that is 31248, so 16368 is abundant (31248 is more than 16368). Euler's totient φ(16368) = 4800 numbers up to 16368 share no factor with it.
- 4
The digits of 16368 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16368 = 2^{4} \times 3 \times 11 \times 31 \]16368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 47616 |
| Euler totient φ(n) | 4800 |
| Square | 267911424 |
| Cube | 4385174188032 |
| Square root | 127.937485 (= 4√1023) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6368 × |
16368 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and sixty-eight |
| Binary (base 2) | 11111111110000 |
| Octal (base 8) | 37760 |
| Hexadecimal (base 16) | 3FF0 |
| Base 3 | 211110020 |
| As time | 16368 seconds = 4 h 32 min 48 s |
Is 16368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16368 ÷ 2 = 8184) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16368 ÷ 3 = 5456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16368 ÷ 4 = 4092) | 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 (16368 ÷ 6 = 2728) | 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 (16368 ÷ 8 = 2046) | 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 | Yes (16368 ÷ 11 = 1488) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16368 ÷ 12 = 1364) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16368 a prime number?
No. 16368 = × 3 × 11 × 31, so it is divisible by 2.
What are the factors of 16368?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 31, 33, 44, 48, 62, 66, 88, 93, 124, 132, 176, 186, 248, 264, 341, 372, 496, 528, 682, 744, 1023, 1364, 1488, 2046, 2728, 4092, 5456, 8184, 16368.
What is 16368 in binary?
11111111110000 (hexadecimal 3FF0, octal 37760).
What is the square root of 16368?
About 127.9375, exactly 4√1023.
Is 16368 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16368?
16368 is a Harshad number: divisible by its digit sum 24.