The number 17431
17431 is the 2005th prime number. Its only divisors are 1 and 17431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17431: the 2005th prime number.
- 2
17431 is prime, so its only factors are 1 and 17431. It is the 2005th prime; the next prime is 17443 and the one before is 17419.
- 3
The divisors add up to 17432; without 17431 itself that is 1, so 17431 is deficient (1 is less than 17431). Euler's totient φ(17431) = 17430 numbers up to 17431 share no factor with it.
- 4
The digits of 17431 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
17431 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17432 |
| Euler totient φ(n) | 17430 |
| Square | 303839761 |
| Cube | 5296230873991 |
| Square root | 132.026512 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.7431 × |
17431 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and thirty-one |
| Binary (base 2) | 100010000010111 |
| Octal (base 8) | 42027 |
| Hexadecimal (base 16) | 4417 |
| Base 3 | 212220121 |
| As time | 17431 seconds = 4 h 50 min 31 s |
Is 17431 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17431 a prime number?
Yes. 17431 is divisible only by 1 and itself.
What are the factors of 17431?
1, 17431.
What is 17431 in binary?
100010000010111 (hexadecimal 4417, octal 42027).
What is the square root of 17431?
About 132.0265.
Is 17431 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17431?
17431 is the 2005th prime number.