The number 27407
27407 is a twin prime (27407 and 27409 are both prime) and the 2995th prime number. Its only divisors are 1 and 27407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27407: a twin prime (27407 and 27409 are both prime); the 2995th prime number.
- 2
27407 is prime, so its only factors are 1 and 27407. It is the 2995th prime; the next prime is 27409 and the one before is 27397.
- 3
The divisors add up to 27408; without 27407 itself that is 1, so 27407 is deficient (1 is less than 27407). Euler's totient φ(27407) = 27406 numbers up to 27407 share no factor with it.
- 4
The digits of 27407 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
27407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27408 |
| Euler totient φ(n) | 27406 |
| Square | 751143649 |
| Cube | 20586593988143 |
| Square root | 165.550596 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7407 × |
27407 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and seven |
| Binary (base 2) | 110101100001111 |
| Octal (base 8) | 65417 |
| Hexadecimal (base 16) | 6B0F |
| Base 3 | 1101121002 |
| As time | 27407 seconds = 7 h 36 min 47 s |
Is 27407 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | 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 27407 a prime number?
Yes. 27407 is divisible only by 1 and itself.
What are the factors of 27407?
1, 27407.
What is 27407 in binary?
110101100001111 (hexadecimal 6B0F, octal 65417).
What is the square root of 27407?
About 165.5506.
Is 27407 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27407?
27407 is a twin prime (27407 and 27409 are both prime); the 2995th prime number.