The number 55517
55517 is a composite number with 12 divisors. Its prime factorisation is × 11 × 103. Divisors (12): 1, 7, 11, 49, 77, 103, 539, 721, 1133, 5047, 7931, 55517.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55517 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55517 is composite. Its prime factorisation is
- 3
The divisors add up to 71136; without 55517 itself that is 15619, so 55517 is deficient (15619 is less than 55517). Euler's totient φ(55517) = 42840 numbers up to 55517 share no factor with it.
- 4
The digits of 55517 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55517 = 7^{2} \times 11 \times 103 \]55517 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71136 |
| Euler totient φ(n) | 42840 |
| Square | 3082137289 |
| Cube | 171111015873413 |
| Square root | 235.620458 (= 7√1133) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5517 × |
55517 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and seventeen |
| Binary (base 2) | 1101100011011101 |
| Octal (base 8) | 154335 |
| Hexadecimal (base 16) | D8DD |
| Base 3 | 2211011012 |
| As time | 55517 seconds = 15 h 25 min 17 s |
Is 55517 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55517 ÷ 7 = 7931) | 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 5) | 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 | Yes (55517 ÷ 11 = 5047) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55517 a prime number?
No. 55517 = × 11 × 103, so it is divisible by 7.
What are the factors of 55517?
1, 7, 11, 49, 77, 103, 539, 721, 1133, 5047, 7931, 55517.
What is 55517 in binary?
1101100011011101 (hexadecimal D8DD, octal 154335).
What is the square root of 55517?
About 235.6205, exactly 7√1133.
Is 55517 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55517?
It is a composite number with 12 divisors.