The number 5517
5517 is a composite number with 6 divisors. Its prime factorisation is × 613. Divisors (6): 1, 3, 9, 613, 1839, 5517.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5517: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5517 is composite. Its prime factorisation is
- 3
The divisors add up to 7982; without 5517 itself that is 2465, so 5517 is deficient (2465 is less than 5517). Euler's totient φ(5517) = 3672 numbers up to 5517 share no factor with it.
- 4
The digits of 5517 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5517 = 3^{2} \times 613 \]5517 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7982 |
| Euler totient φ(n) | 3672 |
| Square | 30437289 |
| Cube | 167922523413 |
| Square root | 74.276510 (= 3√613) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.517 × |
5517 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and seventeen |
| Binary (base 2) | 1010110001101 |
| Octal (base 8) | 12615 |
| Hexadecimal (base 16) | 158D |
| Base 3 | 21120100 |
| As time | 5517 seconds = 1 h 31 min 57 s |
Is 5517 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 (5517 ÷ 3 = 1839) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (5517 ÷ 9 = 613) | 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 6) | 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 5517 a prime number?
No. 5517 = × 613, so it is divisible by 3.
What are the factors of 5517?
1, 3, 9, 613, 1839, 5517.
What is 5517 in binary?
1010110001101 (hexadecimal 158D, octal 12615).
What is the square root of 5517?
About 74.2765, exactly 3√613.
Is 5517 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5517?
5517 is a happy number: repeatedly adding the squares of its digits reaches 1.