The number 16875
16875 is a composite number with 20 divisors. Its prime factorisation is × . Divisors (20): 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 625, 675, 1125 … 16875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16875: a Harshad number: divisible by its digit sum 27.
- 2
16875 is composite. Its prime factorisation is
- 3
The divisors add up to 31240; without 16875 itself that is 14365, so 16875 is deficient (14365 is less than 16875). Euler's totient φ(16875) = 9000 numbers up to 16875 share no factor with it.
- 4
The digits of 16875 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16875 = 3^{3} \times 5^{4} \]16875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 31240 |
| Euler totient φ(n) | 9000 |
| Square | 284765625 |
| Cube | 4805419921875 |
| Square root | 129.903811 (= 75√3) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.6875 × |
16875 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and seventy-five |
| Binary (base 2) | 100000111101011 |
| Octal (base 8) | 40753 |
| Hexadecimal (base 16) | 41EB |
| Base 3 | 212011000 |
| As time | 16875 seconds = 4 h 41 min 15 s |
Is 16875 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16875 ÷ 3 = 5625) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16875 ÷ 5 = 3375) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16875 ÷ 9 = 1875) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16875 a prime number?
No. 16875 = × , so it is divisible by 3.
What are the factors of 16875?
1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 625, 675, 1125, 1875, 3375, 5625, 16875.
What is 16875 in binary?
100000111101011 (hexadecimal 41EB, octal 40753).
What is the square root of 16875?
About 129.9038, exactly 75√3.
Is 16875 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16875?
16875 is a Harshad number: divisible by its digit sum 27.