The number 16848
16848 is a composite number with 50 divisors. Its prime factorisation is × × 13. Divisors (50): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39 … 16848.
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How to work it out
- 1
What is special about 16848: a Harshad number: divisible by its digit sum 27.
- 2
16848 is composite. Its prime factorisation is
- 3
The divisors add up to 52514; without 16848 itself that is 35666, so 16848 is abundant (35666 is more than 16848). Euler's totient φ(16848) = 5184 numbers up to 16848 share no factor with it.
- 4
The digits of 16848 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16848 = 2^{4} \times 3^{4} \times 13 \]16848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 50 |
| Sum of divisors | 52514 |
| Euler totient φ(n) | 5184 |
| Square | 283855104 |
| Cube | 4782390792192 |
| Square root | 129.799846 (= 36√13) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6848 × |
16848 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and forty-eight |
| Binary (base 2) | 100000111010000 |
| Octal (base 8) | 40720 |
| Hexadecimal (base 16) | 41D0 |
| Base 3 | 212010000 |
| As time | 16848 seconds = 4 h 40 min 48 s |
Is 16848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16848 ÷ 2 = 8424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16848 ÷ 3 = 5616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16848 ÷ 4 = 4212) | 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 (16848 ÷ 6 = 2808) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (16848 ÷ 8 = 2106) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16848 ÷ 9 = 1872) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16848 ÷ 12 = 1404) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16848 a prime number?
No. 16848 = × × 13, so it is divisible by 2.
What are the factors of 16848?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 81, 104, 108, 117, 144, 156, 162, 208, 216, 234, 312, 324, 351, 432, 468, 624, 648, 702, 936, 1053, 1296, 1404, 1872, 2106, 2808, 4212, 5616, 8424, 16848.
What is 16848 in binary?
100000111010000 (hexadecimal 41D0, octal 40720).
What is the square root of 16848?
About 129.7998, exactly 36√13.
Is 16848 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16848?
16848 is a Harshad number: divisible by its digit sum 27.