The number 17313
17313 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 199. Divisors (8): 1, 3, 29, 87, 199, 597, 5771, 17313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17313 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17313 is composite. Its prime factorisation is
- 3
The divisors add up to 24000; without 17313 itself that is 6687, so 17313 is deficient (6687 is less than 17313). Euler's totient φ(17313) = 11088 numbers up to 17313 share no factor with it.
- 4
The digits of 17313 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17313 = 3 \times 29 \times 199 \]
17313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24000 |
| Euler totient φ(n) | 11088 |
| Square | 299739969 |
| Cube | 5189398083297 |
| Square root | 131.578874 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.7313 × |
17313 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and thirteen |
| Binary (base 2) | 100001110100001 |
| Octal (base 8) | 41641 |
| Hexadecimal (base 16) | 43A1 |
| Base 3 | 212202020 |
| As time | 17313 seconds = 4 h 48 min 33 s |
Is 17313 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 (17313 ÷ 3 = 5771) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | 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 17313 a prime number?
No. 17313 = 3 × 29 × 199, so it is divisible by 3.
What are the factors of 17313?
1, 3, 29, 87, 199, 597, 5771, 17313.
What is 17313 in binary?
100001110100001 (hexadecimal 43A1, octal 41641).
What is the square root of 17313?
About 131.5789.
Is 17313 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 17313?
It is a composite number with 8 divisors.