The number 17225
17225 is a composite number with 12 divisors. Its prime factorisation is × 13 × 53. Divisors (12): 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17225 is composite. Its prime factorisation is
- 3
The divisors add up to 23436; without 17225 itself that is 6211, so 17225 is deficient (6211 is less than 17225). Euler's totient φ(17225) = 12480 numbers up to 17225 share no factor with it.
- 4
The digits of 17225 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17225 = 5^{2} \times 13 \times 53 \]17225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23436 |
| Euler totient φ(n) | 12480 |
| Square | 296700625 |
| Cube | 5110668265625 |
| Square root | 131.244047 (= 5√689) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7225 × |
17225 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred and twenty-five |
| Binary (base 2) | 100001101001001 |
| Octal (base 8) | 41511 |
| Hexadecimal (base 16) | 4349 |
| Base 3 | 212121222 |
| As time | 17225 seconds = 4 h 47 min 5 s |
Is 17225 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 (17225 ÷ 5 = 3445) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 17225 a prime number?
No. 17225 = × 13 × 53, so it is divisible by 5.
What are the factors of 17225?
1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225.
What is 17225 in binary?
100001101001001 (hexadecimal 4349, octal 41511).
What is the square root of 17225?
About 131.2440, exactly 5√689.
Is 17225 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17225?
It is a composite number with 12 divisors.