The number 5511
5511 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 167. Divisors (8): 1, 3, 11, 33, 167, 501, 1837, 5511.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5511 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5511 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 5511 itself that is 2553, so 5511 is deficient (2553 is less than 5511). Euler's totient φ(5511) = 3320 numbers up to 5511 share no factor with it.
- 4
The digits of 5511 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5511 = 3 \times 11 \times 167 \]
5511 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 3320 |
| Square | 30371121 |
| Cube | 167375247831 |
| Square root | 74.236110 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.511 × |
5511 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and eleven |
| Binary (base 2) | 1010110000111 |
| Octal (base 8) | 12607 |
| Hexadecimal (base 16) | 1587 |
| Base 3 | 21120010 |
| As time | 5511 seconds = 1 h 31 min 51 s |
Is 5511 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 (5511 ÷ 3 = 1837) | 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 2) | 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 3) | 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 | Yes (5511 ÷ 11 = 501) | 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 5511 a prime number?
No. 5511 = 3 × 11 × 167, so it is divisible by 3.
What are the factors of 5511?
1, 3, 11, 33, 167, 501, 1837, 5511.
What is 5511 in binary?
1010110000111 (hexadecimal 1587, octal 12607).
What is the square root of 5511?
About 74.2361.
Is 5511 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5511?
It is a composite number with 8 divisors.