The number 17034
17034 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 167. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 167, 334, 501, 1002, 2839, 5678, 8517, 17034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17034 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17034 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 17034 itself that is 19254, so 17034 is abundant (19254 is more than 17034). Euler's totient φ(17034) = 5312 numbers up to 17034 share no factor with it.
- 4
The digits of 17034 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17034 = 2 \times 3 \times 17 \times 167 \]
17034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 5312 |
| Square | 290157156 |
| Cube | 4942536995304 |
| Square root | 130.514367 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.7034 × |
17034 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and thirty-four |
| Binary (base 2) | 100001010001010 |
| Octal (base 8) | 41212 |
| Hexadecimal (base 16) | 428A |
| Base 3 | 212100220 |
| As time | 17034 seconds = 4 h 43 min 54 s |
Is 17034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17034 ÷ 2 = 8517) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17034 ÷ 3 = 5678) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17034 ÷ 6 = 2839) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17034 a prime number?
No. 17034 = 2 × 3 × 17 × 167, so it is divisible by 2.
What are the factors of 17034?
1, 2, 3, 6, 17, 34, 51, 102, 167, 334, 501, 1002, 2839, 5678, 8517, 17034.
What is 17034 in binary?
100001010001010 (hexadecimal 428A, octal 41212).
What is the square root of 17034?
About 130.5144.
Is 17034 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 17034?
It is a composite number with 16 divisors.