The number 17013
17013 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 107. Divisors (8): 1, 3, 53, 107, 159, 321, 5671, 17013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17013 is composite. Its prime factorisation is
- 3
The divisors add up to 23328; without 17013 itself that is 6315, so 17013 is deficient (6315 is less than 17013). Euler's totient φ(17013) = 11024 numbers up to 17013 share no factor with it.
- 4
The digits of 17013 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17013 = 3 \times 53 \times 107 \]
17013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23328 |
| Euler totient φ(n) | 11024 |
| Square | 289442169 |
| Cube | 4924279621197 |
| Square root | 130.433891 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7013 × |
17013 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and thirteen |
| Binary (base 2) | 100001001110101 |
| Octal (base 8) | 41165 |
| Hexadecimal (base 16) | 4275 |
| Base 3 | 212100010 |
| As time | 17013 seconds = 4 h 43 min 33 s |
Is 17013 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 (17013 ÷ 3 = 5671) | 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 3) | 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 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 17013 a prime number?
No. 17013 = 3 × 53 × 107, so it is divisible by 3.
What are the factors of 17013?
1, 3, 53, 107, 159, 321, 5671, 17013.
What is 17013 in binary?
100001001110101 (hexadecimal 4275, octal 41165).
What is the square root of 17013?
About 130.4339.
Is 17013 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 17013?
It is a composite number with 8 divisors.