The number 5531
5531 is the 732nd prime number. Its only divisors are 1 and 5531.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5531: the 732nd prime number.
- 2
5531 is prime, so its only factors are 1 and 5531. It is the 732nd prime; the next prime is 5557 and the one before is 5527.
- 3
The divisors add up to 5532; without 5531 itself that is 1, so 5531 is deficient (1 is less than 5531). Euler's totient φ(5531) = 5530 numbers up to 5531 share no factor with it.
- 4
The digits of 5531 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 41 steps to reach 1.
5531 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5532 |
| Euler totient φ(n) | 5530 |
| Square | 30591961 |
| Cube | 169204136291 |
| Square root | 74.370693 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.531 × |
5531 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and thirty-one |
| Binary (base 2) | 1010110011011 |
| Octal (base 8) | 12633 |
| Hexadecimal (base 16) | 159B |
| Base 3 | 21120212 |
| As time | 5531 seconds = 1 h 32 min 11 s |
Is 5531 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 2) | 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 5) | 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 | No (remainder 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5531 a prime number?
Yes. 5531 is divisible only by 1 and itself.
What are the factors of 5531?
1, 5531.
What is 5531 in binary?
1010110011011 (hexadecimal 159B, octal 12633).
What is the square root of 5531?
About 74.3707.
Is 5531 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5531?
5531 is the 732nd prime number.