The number 55311
55311 is a composite number with 8 divisors. Its prime factorisation is 3 × 103 × 179. Divisors (8): 1, 3, 103, 179, 309, 537, 18437, 55311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55311 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55311 is composite. Its prime factorisation is
- 3
The divisors add up to 74880; without 55311 itself that is 19569, so 55311 is deficient (19569 is less than 55311). Euler's totient φ(55311) = 36312 numbers up to 55311 share no factor with it.
- 4
The digits of 55311 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55311 = 3 \times 103 \times 179 \]
55311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 74880 |
| Euler totient φ(n) | 36312 |
| Square | 3059306721 |
| Cube | 169213314045231 |
| Square root | 235.182908 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5311 × |
55311 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and eleven |
| Binary (base 2) | 1101100000001111 |
| Octal (base 8) | 154017 |
| Hexadecimal (base 16) | D80F |
| Base 3 | 2210212120 |
| As time | 55311 seconds = 15 h 21 min 51 s |
Is 55311 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 (55311 ÷ 3 = 18437) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55311 a prime number?
No. 55311 = 3 × 103 × 179, so it is divisible by 3.
What are the factors of 55311?
1, 3, 103, 179, 309, 537, 18437, 55311.
What is 55311 in binary?
1101100000001111 (hexadecimal D80F, octal 154017).
What is the square root of 55311?
About 235.1829.
Is 55311 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 55311?
It is a composite number with 8 divisors.