The number 27527
27527 is a twin prime (27527 and 27529 are both prime) and the 3006th prime number. Its only divisors are 1 and 27527.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27527: a twin prime (27527 and 27529 are both prime); the 3006th prime number.
- 2
27527 is prime, so its only factors are 1 and 27527. It is the 3006th prime; the next prime is 27529 and the one before is 27509.
- 3
The divisors add up to 27528; without 27527 itself that is 1, so 27527 is deficient (1 is less than 27527). Euler's totient φ(27527) = 27526 numbers up to 27527 share no factor with it.
- 4
The digits of 27527 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
27527 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27528 |
| Euler totient φ(n) | 27526 |
| Square | 757735729 |
| Cube | 20858191412183 |
| Square root | 165.912628 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7527 × |
27527 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred and twenty-seven |
| Binary (base 2) | 110101110000111 |
| Octal (base 8) | 65607 |
| Hexadecimal (base 16) | 6B87 |
| Base 3 | 1101202112 |
| As time | 27527 seconds = 7 h 38 min 47 s |
Is 27527 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 3) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27527 a prime number?
Yes. 27527 is divisible only by 1 and itself.
What are the factors of 27527?
1, 27527.
What is 27527 in binary?
110101110000111 (hexadecimal 6B87, octal 65607).
What is the square root of 27527?
About 165.9126.
Is 27527 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27527?
27527 is a twin prime (27527 and 27529 are both prime); the 3006th prime number.