The number 5512
5512 is a composite number with 16 divisors. Its prime factorisation is × 13 × 53. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5512: a Harshad number: divisible by its digit sum 13.
- 2
5512 is composite. Its prime factorisation is
- 3
The divisors add up to 11340; without 5512 itself that is 5828, so 5512 is abundant (5828 is more than 5512). Euler's totient φ(5512) = 2496 numbers up to 5512 share no factor with it.
- 4
The digits of 5512 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5512 = 2^{3} \times 13 \times 53 \]5512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11340 |
| Euler totient φ(n) | 2496 |
| Square | 30382144 |
| Cube | 167466377728 |
| Square root | 74.242845 (= 2√1378) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.512 × |
5512 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and twelve |
| Binary (base 2) | 1010110001000 |
| Octal (base 8) | 12610 |
| Hexadecimal (base 16) | 1588 |
| Base 3 | 21120011 |
| As time | 5512 seconds = 1 h 31 min 52 s |
Is 5512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5512 ÷ 2 = 2756) | 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 | Yes (5512 ÷ 4 = 1378) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (5512 ÷ 8 = 689) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5512 a prime number?
No. 5512 = × 13 × 53, so it is divisible by 2.
What are the factors of 5512?
1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512.
What is 5512 in binary?
1010110001000 (hexadecimal 1588, octal 12610).
What is the square root of 5512?
About 74.2428, exactly 2√1378.
Is 5512 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5512?
5512 is a Harshad number: divisible by its digit sum 13.