The number 17390
17390 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 37 × 47. Divisors (16): 1, 2, 5, 10, 37, 47, 74, 94, 185, 235, 370, 470, 1739, 3478, 8695, 17390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17390 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 17390 itself that is 15442, so 17390 is deficient (15442 is less than 17390). Euler's totient φ(17390) = 6624 numbers up to 17390 share no factor with it.
- 4
The digits of 17390 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 185 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17390 = 2 \times 5 \times 37 \times 47 \]
17390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 6624 |
| Square | 302412100 |
| Cube | 5258946419000 |
| Square root | 131.871149 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.739 × |
17390 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and ninety |
| Binary (base 2) | 100001111101110 |
| Octal (base 8) | 41756 |
| Hexadecimal (base 16) | 43EE |
| Base 3 | 212212002 |
| As time | 17390 seconds = 4 h 49 min 50 s |
Is 17390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17390 ÷ 2 = 8695) | 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 | Yes (17390 ÷ 5 = 3478) | 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 6) | 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 | Yes (17390 ÷ 10 = 1739) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 17390 a prime number?
No. 17390 = 2 × 5 × 37 × 47, so it is divisible by 2.
What are the factors of 17390?
1, 2, 5, 10, 37, 47, 74, 94, 185, 235, 370, 470, 1739, 3478, 8695, 17390.
What is 17390 in binary?
100001111101110 (hexadecimal 43EE, octal 41756).
What is the square root of 17390?
About 131.8711.
Is 17390 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17390?
It is a composite number with 16 divisors.