The number 17122
17122 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1223. Divisors (8): 1, 2, 7, 14, 1223, 2446, 8561, 17122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17122 is composite. Its prime factorisation is
- 3
The divisors add up to 29376; without 17122 itself that is 12254, so 17122 is deficient (12254 is less than 17122). Euler's totient φ(17122) = 7332 numbers up to 17122 share no factor with it.
- 4
The digits of 17122 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17122 = 2 \times 7 \times 1223 \]
17122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 29376 |
| Euler totient φ(n) | 7332 |
| Square | 293162884 |
| Cube | 5019534899848 |
| Square root | 130.851060 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7122 × |
17122 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and twenty-two |
| Binary (base 2) | 100001011100010 |
| Octal (base 8) | 41342 |
| Hexadecimal (base 16) | 42E2 |
| Base 3 | 212111011 |
| As time | 17122 seconds = 4 h 45 min 22 s |
Is 17122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17122 ÷ 2 = 8561) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17122 ÷ 7 = 2446) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17122 a prime number?
No. 17122 = 2 × 7 × 1223, so it is divisible by 2.
What are the factors of 17122?
1, 2, 7, 14, 1223, 2446, 8561, 17122.
What is 17122 in binary?
100001011100010 (hexadecimal 42E2, octal 41342).
What is the square root of 17122?
About 130.8511.
Is 17122 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17122?
It is a composite number with 8 divisors.