The number 16825
16825 is a composite number with 6 divisors. Its prime factorisation is Ć 673. Divisors (6): 1, 5, 25, 673, 3365, 16825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16825: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16825 is composite. Its prime factorisation is
- 3
The divisors add up to 20894; without 16825 itself that is 4069, so 16825 is deficient (4069 is less than 16825). Euler's totient Ļ(16825) = 13440 numbers up to 16825 share no factor with it.
- 4
The digits of 16825 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16825 = 5^{2} \times 673 \]16825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 20894 |
| Euler totient Ļ(n) | 13440 |
| Square | 283080625 |
| Cube | 4762831515625 |
| Square root | 129.711218 (= 5ā673) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6825 Ć |
16825 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and twenty-five |
| Binary (base 2) | 100000110111001 |
| Octal (base 8) | 40671 |
| Hexadecimal (base 16) | 41B9 |
| Base 3 | 212002011 |
| As time | 16825 seconds = 4 h 40 min 25 s |
Is 16825 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 | No (remainder 1) | 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 (16825 Ć· 5 = 3365) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16825 a prime number?
No. 16825 = Ć 673, so it is divisible by 5.
What are the factors of 16825?
1, 5, 25, 673, 3365, 16825.
What is 16825 in binary?
100000110111001 (hexadecimal 41B9, octal 40671).
What is the square root of 16825?
About 129.7112, exactly 5ā673.
Is 16825 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16825?
16825 is a happy number: repeatedly adding the squares of its digits reaches 1.