The number 5521
5521 is a twin prime (5519 and 5521 are both prime) and the 730th prime number. Its only divisors are 1 and 5521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5521: a twin prime (5519 and 5521 are both prime); the 730th prime number.
- 2
5521 is prime, so its only factors are 1 and 5521. It is the 730th prime; the next prime is 5527 and the one before is 5519.
- 3
The divisors add up to 5522; without 5521 itself that is 1, so 5521 is deficient (1 is less than 5521). Euler's totient φ(5521) = 5520 numbers up to 5521 share no factor with it.
- 4
The digits of 5521 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.
5521 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5522 |
| Euler totient φ(n) | 5520 |
| Square | 30481441 |
| Cube | 168288035761 |
| Square root | 74.303432 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.521 × |
5521 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and twenty-one |
| Binary (base 2) | 1010110010001 |
| Octal (base 8) | 12621 |
| Hexadecimal (base 16) | 1591 |
| Base 3 | 21120111 |
| As time | 5521 seconds = 1 h 32 min 1 s |
Is 5521 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5521 a prime number?
Yes. 5521 is divisible only by 1 and itself.
What are the factors of 5521?
1, 5521.
What is 5521 in binary?
1010110010001 (hexadecimal 1591, octal 12621).
What is the square root of 5521?
About 74.3034.
Is 5521 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5521?
5521 is a twin prime (5519 and 5521 are both prime); the 730th prime number.