The number 27431
27431 is the 2998th prime number. Its only divisors are 1 and 27431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27431: the 2998th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27431 is prime, so its only factors are 1 and 27431. It is the 2998th prime; the next prime is 27437 and the one before is 27427.
- 3
The divisors add up to 27432; without 27431 itself that is 1, so 27431 is deficient (1 is less than 27431). Euler's totient φ(27431) = 27430 numbers up to 27431 share no factor with it.
- 4
The digits of 27431 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
27431 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27432 |
| Euler totient φ(n) | 27430 |
| Square | 752459761 |
| Cube | 20640723703991 |
| Square root | 165.623066 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7431 × |
27431 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and thirty-one |
| Binary (base 2) | 110101100100111 |
| Octal (base 8) | 65447 |
| Hexadecimal (base 16) | 6B27 |
| Base 3 | 1101121222 |
| As time | 27431 seconds = 7 h 37 min 11 s |
Is 27431 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 1) | 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 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 8) | 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 8) | 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 27431 a prime number?
Yes. 27431 is divisible only by 1 and itself.
What are the factors of 27431?
1, 27431.
What is 27431 in binary?
110101100100111 (hexadecimal 6B27, octal 65447).
What is the square root of 27431?
About 165.6231.
Is 27431 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27431?
27431 is the 2998th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.