The number 17825
17825 is a composite number with 12 divisors. Its prime factorisation is × 23 × 31. Divisors (12): 1, 5, 23, 25, 31, 115, 155, 575, 713, 775, 3565, 17825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17825: a Harshad number: divisible by its digit sum 23.
- 2
17825 is composite. Its prime factorisation is
- 3
The divisors add up to 23808; without 17825 itself that is 5983, so 17825 is deficient (5983 is less than 17825). Euler's totient φ(17825) = 13200 numbers up to 17825 share no factor with it.
- 4
The digits of 17825 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17825 = 5^{2} \times 23 \times 31 \]17825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23808 |
| Euler totient φ(n) | 13200 |
| Square | 317730625 |
| Cube | 5663548390625 |
| Square root | 133.510299 (= 5√713) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.7825 × |
17825 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand eight hundred and twenty-five |
| Binary (base 2) | 100010110100001 |
| Octal (base 8) | 42641 |
| Hexadecimal (base 16) | 45A1 |
| Base 3 | 220110012 |
| As time | 17825 seconds = 4 h 57 min 5 s |
Is 17825 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 2) | 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 (17825 ÷ 5 = 3565) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17825 a prime number?
No. 17825 = × 23 × 31, so it is divisible by 5.
What are the factors of 17825?
1, 5, 23, 25, 31, 115, 155, 575, 713, 775, 3565, 17825.
What is 17825 in binary?
100010110100001 (hexadecimal 45A1, octal 42641).
What is the square root of 17825?
About 133.5103, exactly 5√713.
Is 17825 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 17825?
17825 is a Harshad number: divisible by its digit sum 23.