The number 5317
5317 is a composite number with 4 divisors. Its prime factorisation is 13 × 409. Divisors (4): 1, 13, 409, 5317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5317: a semiprime: 13 × 409, the product of two primes.
- 2
5317 is composite. Its prime factorisation is
- 3
The divisors add up to 5740; without 5317 itself that is 423, so 5317 is deficient (423 is less than 5317). Euler's totient φ(5317) = 4896 numbers up to 5317 share no factor with it.
- 4
The digits of 5317 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5317 = 13 \times 409 \]
5317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5740 |
| Euler totient φ(n) | 4896 |
| Square | 28270489 |
| Cube | 150314190013 |
| Square root | 72.917762 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.317 × |
5317 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and seventeen |
| Binary (base 2) | 1010011000101 |
| Octal (base 8) | 12305 |
| Hexadecimal (base 16) | 14C5 |
| Base 3 | 21021221 |
| As time | 5317 seconds = 1 h 28 min 37 s |
Is 5317 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5317 a prime number?
No. 5317 = 13 × 409, so it is divisible by 13.
What are the factors of 5317?
1, 13, 409, 5317.
What is 5317 in binary?
1010011000101 (hexadecimal 14C5, octal 12305).
What is the square root of 5317?
About 72.9178.
Is 5317 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5317?
5317 is a semiprime: 13 × 409, the product of two primes.