The number 27481
27481 is a twin prime (27479 and 27481 are both prime) and the 3003rd prime number. Its only divisors are 1 and 27481.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27481: a twin prime (27479 and 27481 are both prime); the 3003rd prime number.
- 2
27481 is prime, so its only factors are 1 and 27481. It is the 3003rd prime; the next prime is 27487 and the one before is 27479.
- 3
The divisors add up to 27482; without 27481 itself that is 1, so 27481 is deficient (1 is less than 27481). Euler's totient φ(27481) = 27480 numbers up to 27481 share no factor with it.
- 4
The digits of 27481 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
27481 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27482 |
| Euler totient φ(n) | 27480 |
| Square | 755205361 |
| Cube | 20753798525641 |
| Square root | 165.773942 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7481 × |
27481 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and eighty-one |
| Binary (base 2) | 110101101011001 |
| Octal (base 8) | 65531 |
| Hexadecimal (base 16) | 6B59 |
| Base 3 | 1101200211 |
| As time | 27481 seconds = 7 h 38 min 1 s |
Is 27481 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27481 a prime number?
Yes. 27481 is divisible only by 1 and itself.
What are the factors of 27481?
1, 27481.
What is 27481 in binary?
110101101011001 (hexadecimal 6B59, octal 65531).
What is the square root of 27481?
About 165.7739.
Is 27481 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27481?
27481 is a twin prime (27479 and 27481 are both prime); the 3003rd prime number.