The number 17425
17425 is a binary palindrome (100010000010001). Its prime factorisation is × 17 × 41. Divisors (12): 1, 5, 17, 25, 41, 85, 205, 425, 697, 1025, 3485, 17425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17425: a binary palindrome (100010000010001).
- 2
17425 is composite. Its prime factorisation is
- 3
The divisors add up to 23436; without 17425 itself that is 6011, so 17425 is deficient (6011 is less than 17425). Euler's totient φ(17425) = 12800 numbers up to 17425 share no factor with it.
- 4
The digits of 17425 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17425 = 5^{2} \times 17 \times 41 \]17425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23436 |
| Euler totient φ(n) | 12800 |
| Square | 303630625 |
| Cube | 5290763640625 |
| Square root | 132.003788 (= 5√697) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.7425 × |
17425 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and twenty-five |
| Binary (base 2) | 100010000010001 |
| Octal (base 8) | 42021 |
| Hexadecimal (base 16) | 4411 |
| Base 3 | 212220101 |
| As time | 17425 seconds = 4 h 50 min 25 s |
Is 17425 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 (17425 ÷ 5 = 3485) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17425 a prime number?
No. 17425 = × 17 × 41, so it is divisible by 5.
What are the factors of 17425?
1, 5, 17, 25, 41, 85, 205, 425, 697, 1025, 3485, 17425.
What is 17425 in binary?
100010000010001 (hexadecimal 4411, octal 42021).
What is the square root of 17425?
About 132.0038, exactly 5√697.
Is 17425 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17425?
17425 is a binary palindrome (100010000010001).