The number 17094
17094 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 37. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 37, 42, 66, 74, 77, 111 … 17094.
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How to work it out
- 1
What is special about 17094: a Harshad number: divisible by its digit sum 21.
- 2
17094 is composite. Its prime factorisation is
- 3
The divisors add up to 43776; without 17094 itself that is 26682, so 17094 is abundant (26682 is more than 17094). Euler's totient φ(17094) = 4320 numbers up to 17094 share no factor with it.
- 4
The digits of 17094 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17094 = 2 \times 3 \times 7 \times 11 \times 37 \]
17094 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 43776 |
| Euler totient φ(n) | 4320 |
| Square | 292204836 |
| Cube | 4994949466584 |
| Square root | 130.744025 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.7094 × |
17094 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and ninety-four |
| Binary (base 2) | 100001011000110 |
| Octal (base 8) | 41306 |
| Hexadecimal (base 16) | 42C6 |
| Base 3 | 212110010 |
| As time | 17094 seconds = 4 h 44 min 54 s |
Is 17094 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17094 ÷ 2 = 8547) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17094 ÷ 3 = 5698) | 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 (17094 ÷ 6 = 2849) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17094 ÷ 7 = 2442) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (17094 ÷ 11 = 1554) | 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 17094 a prime number?
No. 17094 = 2 × 3 × 7 × 11 × 37, so it is divisible by 2.
What are the factors of 17094?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 37, 42, 66, 74, 77, 111, 154, 222, 231, 259, 407, 462, 518, 777, 814, 1221, 1554, 2442, 2849, 5698, 8547, 17094.
What is 17094 in binary?
100001011000110 (hexadecimal 42C6, octal 41306).
What is the square root of 17094?
About 130.7440.
Is 17094 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 17094?
17094 is a Harshad number: divisible by its digit sum 21.