The number 17121
17121 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 439. Divisors (8): 1, 3, 13, 39, 439, 1317, 5707, 17121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17121 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17121 is composite. Its prime factorisation is
- 3
The divisors add up to 24640; without 17121 itself that is 7519, so 17121 is deficient (7519 is less than 17121). Euler's totient φ(17121) = 10512 numbers up to 17121 share no factor with it.
- 4
The digits of 17121 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17121 = 3 \times 13 \times 439 \]
17121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24640 |
| Euler totient φ(n) | 10512 |
| Square | 293128641 |
| Cube | 5018655462561 |
| Square root | 130.847239 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.7121 × |
17121 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and twenty-one |
| Binary (base 2) | 100001011100001 |
| Octal (base 8) | 41341 |
| Hexadecimal (base 16) | 42E1 |
| Base 3 | 212111010 |
| As time | 17121 seconds = 4 h 45 min 21 s |
Is 17121 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 | Yes (17121 ÷ 3 = 5707) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17121 a prime number?
No. 17121 = 3 × 13 × 439, so it is divisible by 3.
What are the factors of 17121?
1, 3, 13, 39, 439, 1317, 5707, 17121.
What is 17121 in binary?
100001011100001 (hexadecimal 42E1, octal 41341).
What is the square root of 17121?
About 130.8472.
Is 17121 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 17121?
It is a composite number with 8 divisors.