The number 17201
17201 is a composite number with 4 divisors. Its prime factorisation is 103 × 167. Divisors (4): 1, 103, 167, 17201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17201: a semiprime: 103 × 167, the product of two primes.
- 2
17201 is composite. Its prime factorisation is
- 3
The divisors add up to 17472; without 17201 itself that is 271, so 17201 is deficient (271 is less than 17201). Euler's totient φ(17201) = 16932 numbers up to 17201 share no factor with it.
- 4
The digits of 17201 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17201 = 103 \times 167 \]
17201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17472 |
| Euler totient φ(n) | 16932 |
| Square | 295874401 |
| Cube | 5089335571601 |
| Square root | 131.152583 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.7201 × |
17201 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred and one |
| Binary (base 2) | 100001100110001 |
| Octal (base 8) | 41461 |
| Hexadecimal (base 16) | 4331 |
| Base 3 | 212121002 |
| As time | 17201 seconds = 4 h 46 min 41 s |
Is 17201 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 | No (remainder 1) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 17201 a prime number?
No. 17201 = 103 × 167, so it is divisible by 103.
What are the factors of 17201?
1, 103, 167, 17201.
What is 17201 in binary?
100001100110001 (hexadecimal 4331, octal 41461).
What is the square root of 17201?
About 131.1526.
Is 17201 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 17201?
17201 is a semiprime: 103 × 167, the product of two primes.