The number 17138
17138 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 19 × 41. Divisors (16): 1, 2, 11, 19, 22, 38, 41, 82, 209, 418, 451, 779, 902, 1558, 8569, 17138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17138 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 17138 itself that is 13102, so 17138 is deficient (13102 is less than 17138). Euler's totient φ(17138) = 7200 numbers up to 17138 share no factor with it.
- 4
The digits of 17138 add up to 20, 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
\[ 17138 = 2 \times 11 \times 19 \times 41 \]
17138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 7200 |
| Square | 293711044 |
| Cube | 5033619872072 |
| Square root | 130.912184 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7138 × |
17138 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and thirty-eight |
| Binary (base 2) | 100001011110010 |
| Octal (base 8) | 41362 |
| Hexadecimal (base 16) | 42F2 |
| Base 3 | 212111202 |
| As time | 17138 seconds = 4 h 45 min 38 s |
Is 17138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17138 ÷ 2 = 8569) | 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 | No (remainder 2) | 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 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (17138 ÷ 11 = 1558) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17138 a prime number?
No. 17138 = 2 × 11 × 19 × 41, so it is divisible by 2.
What are the factors of 17138?
1, 2, 11, 19, 22, 38, 41, 82, 209, 418, 451, 779, 902, 1558, 8569, 17138.
What is 17138 in binary?
100001011110010 (hexadecimal 42F2, octal 41362).
What is the square root of 17138?
About 130.9122.
Is 17138 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17138?
It is a composite number with 16 divisors.