The number 27449
27449 is the 3000th prime number. Its only divisors are 1 and 27449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27449: the 3000th prime number.
- 2
27449 is prime, so its only factors are 1 and 27449. It is the 3000th prime; the next prime is 27457 and the one before is 27437.
- 3
The divisors add up to 27450; without 27449 itself that is 1, so 27449 is deficient (1 is less than 27449). Euler's totient φ(27449) = 27448 numbers up to 27449 share no factor with it.
- 4
The digits of 27449 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
27449 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27450 |
| Euler totient φ(n) | 27448 |
| Square | 753447601 |
| Cube | 20681383199849 |
| Square root | 165.677397 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7449 × |
27449 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and forty-nine |
| Binary (base 2) | 110101100111001 |
| Octal (base 8) | 65471 |
| Hexadecimal (base 16) | 6B39 |
| Base 3 | 1101122122 |
| As time | 27449 seconds = 7 h 37 min 29 s |
Is 27449 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27449 a prime number?
Yes. 27449 is divisible only by 1 and itself.
What are the factors of 27449?
1, 27449.
What is 27449 in binary?
110101100111001 (hexadecimal 6B39, octal 65471).
What is the square root of 27449?
About 165.6774.
Is 27449 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27449?
27449 is the 3000th prime number.