The number 5527
5527 is the 731st prime number. Its only divisors are 1 and 5527.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5527: the 731st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5527 is prime, so its only factors are 1 and 5527. It is the 731st prime; the next prime is 5531 and the one before is 5521.
- 3
The divisors add up to 5528; without 5527 itself that is 1, so 5527 is deficient (1 is less than 5527). Euler's totient φ(5527) = 5526 numbers up to 5527 share no factor with it.
- 4
The digits of 5527 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
5527 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5528 |
| Euler totient φ(n) | 5526 |
| Square | 30547729 |
| Cube | 168837298183 |
| Square root | 74.343796 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.527 × |
5527 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and twenty-seven |
| Binary (base 2) | 1010110010111 |
| Octal (base 8) | 12627 |
| Hexadecimal (base 16) | 1597 |
| Base 3 | 21120201 |
| As time | 5527 seconds = 1 h 32 min 7 s |
Is 5527 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5527 a prime number?
Yes. 5527 is divisible only by 1 and itself.
What are the factors of 5527?
1, 5527.
What is 5527 in binary?
1010110010111 (hexadecimal 1597, octal 12627).
What is the square root of 5527?
About 74.3438.
Is 5527 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5527?
5527 is the 731st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.