The number 16725
16725 is a composite number with 12 divisors. Its prime factorisation is 3 × × 223. Divisors (12): 1, 3, 5, 15, 25, 75, 223, 669, 1115, 3345, 5575, 16725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16725 is composite. Its prime factorisation is
- 3
The divisors add up to 27776; without 16725 itself that is 11051, so 16725 is deficient (11051 is less than 16725). Euler's totient φ(16725) = 8880 numbers up to 16725 share no factor with it.
- 4
The digits of 16725 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16725 = 3 \times 5^{2} \times 223 \]16725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27776 |
| Euler totient φ(n) | 8880 |
| Square | 279725625 |
| Cube | 4678411078125 |
| Square root | 129.325172 (= 5√669) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6725 × |
16725 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and twenty-five |
| Binary (base 2) | 100000101010101 |
| Octal (base 8) | 40525 |
| Hexadecimal (base 16) | 4155 |
| Base 3 | 211221110 |
| As time | 16725 seconds = 4 h 38 min 45 s |
Is 16725 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 (16725 ÷ 3 = 5575) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16725 ÷ 5 = 3345) | 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 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16725 a prime number?
No. 16725 = 3 × × 223, so it is divisible by 3.
What are the factors of 16725?
1, 3, 5, 15, 25, 75, 223, 669, 1115, 3345, 5575, 16725.
What is 16725 in binary?
100000101010101 (hexadecimal 4155, octal 40525).
What is the square root of 16725?
About 129.3252, exactly 5√669.
Is 16725 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16725?
It is a composite number with 12 divisors.