The number 5507
5507 is the 728th prime number. Its only divisors are 1 and 5507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5507: the 728th prime number.
- 2
5507 is prime, so its only factors are 1 and 5507. It is the 728th prime; the next prime is 5519 and the one before is 5503.
- 3
The divisors add up to 5508; without 5507 itself that is 1, so 5507 is deficient (1 is less than 5507). Euler's totient φ(5507) = 5506 numbers up to 5507 share no factor with it.
- 4
The digits of 5507 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.
5507 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5508 |
| Euler totient φ(n) | 5506 |
| Square | 30327049 |
| Cube | 167011058843 |
| Square root | 74.209164 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.507 × |
5507 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and seven |
| Binary (base 2) | 1010110000011 |
| Octal (base 8) | 12603 |
| Hexadecimal (base 16) | 1583 |
| Base 3 | 21112222 |
| As time | 5507 seconds = 1 h 31 min 47 s |
Is 5507 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 2) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 5507 a prime number?
Yes. 5507 is divisible only by 1 and itself.
What are the factors of 5507?
1, 5507.
What is 5507 in binary?
1010110000011 (hexadecimal 1583, octal 12603).
What is the square root of 5507?
About 74.2092.
Is 5507 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5507?
5507 is the 728th prime number.