The number 27487
27487 is the 3004th prime number. Its only divisors are 1 and 27487.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27487: the 3004th prime number.
- 2
27487 is prime, so its only factors are 1 and 27487. It is the 3004th prime; the next prime is 27509 and the one before is 27481.
- 3
The divisors add up to 27488; without 27487 itself that is 1, so 27487 is deficient (1 is less than 27487). Euler's totient φ(27487) = 27486 numbers up to 27487 share no factor with it.
- 4
The digits of 27487 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 214 steps to reach 1.
27487 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27488 |
| Euler totient φ(n) | 27486 |
| Square | 755535169 |
| Cube | 20767395190303 |
| Square root | 165.792038 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 214 |
| Scientific notation | 2.7487 × |
27487 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and eighty-seven |
| Binary (base 2) | 110101101011111 |
| Octal (base 8) | 65537 |
| Hexadecimal (base 16) | 6B5F |
| Base 3 | 1101201001 |
| As time | 27487 seconds = 7 h 38 min 7 s |
Is 27487 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 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 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 9) | 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 27487 a prime number?
Yes. 27487 is divisible only by 1 and itself.
What are the factors of 27487?
1, 27487.
What is 27487 in binary?
110101101011111 (hexadecimal 6B5F, octal 65537).
What is the square root of 27487?
About 165.7920.
Is 27487 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27487?
27487 is the 3004th prime number.