The number 27409
27409 is a twin prime (27407 and 27409 are both prime) and the 2996th prime number. Its only divisors are 1 and 27409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27409: a twin prime (27407 and 27409 are both prime); the 2996th prime number.
- 2
27409 is prime, so its only factors are 1 and 27409. It is the 2996th prime; the next prime is 27427 and the one before is 27407.
- 3
The divisors add up to 27410; without 27409 itself that is 1, so 27409 is deficient (1 is less than 27409). Euler's totient φ(27409) = 27408 numbers up to 27409 share no factor with it.
- 4
The digits of 27409 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 59 steps to reach 1.
27409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27410 |
| Euler totient φ(n) | 27408 |
| Square | 751253281 |
| Cube | 20591101178929 |
| Square root | 165.556637 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7409 × |
27409 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and nine |
| Binary (base 2) | 110101100010001 |
| Octal (base 8) | 65421 |
| Hexadecimal (base 16) | 6B11 |
| Base 3 | 1101121011 |
| As time | 27409 seconds = 7 h 36 min 49 s |
Is 27409 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 4) | 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 4) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 27409 a prime number?
Yes. 27409 is divisible only by 1 and itself.
What are the factors of 27409?
1, 27409.
What is 27409 in binary?
110101100010001 (hexadecimal 6B11, octal 65421).
What is the square root of 27409?
About 165.5566.
Is 27409 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27409?
27409 is a twin prime (27407 and 27409 are both prime); the 2996th prime number.