The number 5522
5522 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 251. Divisors (8): 1, 2, 11, 22, 251, 502, 2761, 5522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5522 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5522 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 5522 itself that is 3550, so 5522 is deficient (3550 is less than 5522). Euler's totient φ(5522) = 2500 numbers up to 5522 share no factor with it.
- 4
The digits of 5522 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5522 = 2 \times 11 \times 251 \]
5522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 2500 |
| Square | 30492484 |
| Cube | 168379496648 |
| Square root | 74.310161 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.522 × |
5522 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and twenty-two |
| Binary (base 2) | 1010110010010 |
| Octal (base 8) | 12622 |
| Hexadecimal (base 16) | 1592 |
| Base 3 | 21120112 |
| As time | 5522 seconds = 1 h 32 min 2 s |
Is 5522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5522 ÷ 2 = 2761) | 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 | No (remainder 2) | 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 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (5522 ÷ 11 = 502) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5522 a prime number?
No. 5522 = 2 × 11 × 251, so it is divisible by 2.
What are the factors of 5522?
1, 2, 11, 22, 251, 502, 2761, 5522.
What is 5522 in binary?
1010110010010 (hexadecimal 1592, octal 12622).
What is the square root of 5522?
About 74.3102.
Is 5522 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5522?
It is a composite number with 8 divisors.