The number 17483
17483 is the 2011th prime number. Its only divisors are 1 and 17483.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17483: the 2011th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17483 is prime, so its only factors are 1 and 17483. It is the 2011th prime; the next prime is 17489 and the one before is 17477.
- 3
The divisors add up to 17484; without 17483 itself that is 1, so 17483 is deficient (1 is less than 17483). Euler's totient φ(17483) = 17482 numbers up to 17483 share no factor with it.
- 4
The digits of 17483 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
17483 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17484 |
| Euler totient φ(n) | 17482 |
| Square | 305655289 |
| Cube | 5343771417587 |
| Square root | 132.223296 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7483 × |
17483 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and eighty-three |
| Binary (base 2) | 100010001001011 |
| Octal (base 8) | 42113 |
| Hexadecimal (base 16) | 444B |
| Base 3 | 212222112 |
| As time | 17483 seconds = 4 h 51 min 23 s |
Is 17483 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 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17483 a prime number?
Yes. 17483 is divisible only by 1 and itself.
What are the factors of 17483?
1, 17483.
What is 17483 in binary?
100010001001011 (hexadecimal 444B, octal 42113).
What is the square root of 17483?
About 132.2233.
Is 17483 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 17483?
17483 is the 2011th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.