The number 17064
17064 is a composite number with 32 divisors. Its prime factorisation is × × 79. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 79, 108 … 17064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17064: a Harshad number: divisible by its digit sum 18.
- 2
17064 is composite. Its prime factorisation is
- 3
The divisors add up to 48000; without 17064 itself that is 30936, so 17064 is abundant (30936 is more than 17064). Euler's totient φ(17064) = 5616 numbers up to 17064 share no factor with it.
- 4
The digits of 17064 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17064 = 2^{3} \times 3^{3} \times 79 \]17064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 48000 |
| Euler totient φ(n) | 5616 |
| Square | 291180096 |
| Cube | 4968697158144 |
| Square root | 130.629246 (= 6√474) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.7064 × |
17064 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and sixty-four |
| Binary (base 2) | 100001010101000 |
| Octal (base 8) | 41250 |
| Hexadecimal (base 16) | 42A8 |
| Base 3 | 212102000 |
| As time | 17064 seconds = 4 h 44 min 24 s |
Is 17064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17064 ÷ 2 = 8532) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17064 ÷ 3 = 5688) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17064 ÷ 4 = 4266) | 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 (17064 ÷ 6 = 2844) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (17064 ÷ 8 = 2133) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (17064 ÷ 9 = 1896) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (17064 ÷ 12 = 1422) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17064 a prime number?
No. 17064 = × × 79, so it is divisible by 2.
What are the factors of 17064?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 79, 108, 158, 216, 237, 316, 474, 632, 711, 948, 1422, 1896, 2133, 2844, 4266, 5688, 8532, 17064.
What is 17064 in binary?
100001010101000 (hexadecimal 42A8, octal 41250).
What is the square root of 17064?
About 130.6292, exactly 6√474.
Is 17064 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17064?
17064 is a Harshad number: divisible by its digit sum 18.