The number 55510
55510 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 13 × 61. Divisors (32): 1, 2, 5, 7, 10, 13, 14, 26, 35, 61, 65, 70, 91, 122, 130, 182 … 55510.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55510 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55510 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 55510 itself that is 69482, so 55510 is abundant (69482 is more than 55510). Euler's totient φ(55510) = 17280 numbers up to 55510 share no factor with it.
- 4
The digits of 55510 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55510 = 2 \times 5 \times 7 \times 13 \times 61 \]
55510 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 17280 |
| Square | 3081360100 |
| Cube | 171046299151000 |
| Square root | 235.605603 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.551 × |
55510 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and ten |
| Binary (base 2) | 1101100011010110 |
| Octal (base 8) | 154326 |
| Hexadecimal (base 16) | D8D6 |
| Base 3 | 2211010221 |
| As time | 55510 seconds = 15 h 25 min 10 s |
Is 55510 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55510 ÷ 2 = 27755) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55510 ÷ 5 = 11102) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55510 ÷ 7 = 7930) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55510 ÷ 10 = 5551) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55510 a prime number?
No. 55510 = 2 × 5 × 7 × 13 × 61, so it is divisible by 2.
What are the factors of 55510?
1, 2, 5, 7, 10, 13, 14, 26, 35, 61, 65, 70, 91, 122, 130, 182, 305, 427, 455, 610, 793, 854, 910, 1586, 2135, 3965, 4270, 5551, 7930, 11102, 27755, 55510.
What is 55510 in binary?
1101100011010110 (hexadecimal D8D6, octal 154326).
What is the square root of 55510?
About 235.6056.
Is 55510 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55510?
It is a composite number with 32 divisors.