The number 17012
17012 is a composite number with 6 divisors. Its prime factorisation is × 4253. Divisors (6): 1, 2, 4, 4253, 8506, 17012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17012 is composite. Its prime factorisation is
- 3
The divisors add up to 29778; without 17012 itself that is 12766, so 17012 is deficient (12766 is less than 17012). Euler's totient φ(17012) = 8504 numbers up to 17012 share no factor with it.
- 4
The digits of 17012 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17012 = 2^{2} \times 4253 \]17012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 29778 |
| Euler totient φ(n) | 8504 |
| Square | 289408144 |
| Cube | 4923411345728 |
| Square root | 130.430058 (= 2√4253) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7012 × |
17012 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and twelve |
| Binary (base 2) | 100001001110100 |
| Octal (base 8) | 41164 |
| Hexadecimal (base 16) | 4274 |
| Base 3 | 212100002 |
| As time | 17012 seconds = 4 h 43 min 32 s |
Is 17012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17012 ÷ 2 = 8506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17012 ÷ 4 = 4253) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17012 a prime number?
No. 17012 = × 4253, so it is divisible by 2.
What are the factors of 17012?
1, 2, 4, 4253, 8506, 17012.
What is 17012 in binary?
100001001110100 (hexadecimal 4274, octal 41164).
What is the square root of 17012?
About 130.4301, exactly 2√4253.
Is 17012 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 17012?
It is a composite number with 6 divisors.