The number 5552
5552 is a composite number with 10 divisors. Its prime factorisation is × 347. Divisors (10): 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5552 is composite. Its prime factorisation is
- 3
The divisors add up to 10788; without 5552 itself that is 5236, so 5552 is deficient (5236 is less than 5552). Euler's totient φ(5552) = 2768 numbers up to 5552 share no factor with it.
- 4
The digits of 5552 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5552 = 2^{4} \times 347 \]5552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 10788 |
| Euler totient φ(n) | 2768 |
| Square | 30824704 |
| Cube | 171138756608 |
| Square root | 74.511744 (= 4√347) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.552 × |
5552 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and fifty-two |
| Binary (base 2) | 1010110110000 |
| Octal (base 8) | 12660 |
| Hexadecimal (base 16) | 15B0 |
| Base 3 | 21121122 |
| As time | 5552 seconds = 1 h 32 min 32 s |
Is 5552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5552 ÷ 2 = 2776) | 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 | Yes (5552 ÷ 4 = 1388) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (5552 ÷ 8 = 694) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5552 a prime number?
No. 5552 = × 347, so it is divisible by 2.
What are the factors of 5552?
1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552.
What is 5552 in binary?
1010110110000 (hexadecimal 15B0, octal 12660).
What is the square root of 5552?
About 74.5117, exactly 4√347.
Is 5552 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5552?
5552 is a happy number: repeatedly adding the squares of its digits reaches 1.