The number 17093
17093 is the 1970th prime number. Its only divisors are 1 and 17093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17093: the 1970th prime number.
- 2
17093 is prime, so its only factors are 1 and 17093. It is the 1970th prime; the next prime is 17099 and the one before is 17077.
- 3
The divisors add up to 17094; without 17093 itself that is 1, so 17093 is deficient (1 is less than 17093). Euler's totient φ(17093) = 17092 numbers up to 17093 share no factor with it.
- 4
The digits of 17093 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 66 steps to reach 1.
17093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17094 |
| Euler totient φ(n) | 17092 |
| Square | 292170649 |
| Cube | 4994072903357 |
| Square root | 130.740200 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.7093 × |
17093 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and ninety-three |
| Binary (base 2) | 100001011000101 |
| Octal (base 8) | 41305 |
| Hexadecimal (base 16) | 42C5 |
| Base 3 | 212110002 |
| As time | 17093 seconds = 4 h 44 min 53 s |
Is 17093 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 1) | 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 6) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17093 a prime number?
Yes. 17093 is divisible only by 1 and itself.
What are the factors of 17093?
1, 17093.
What is 17093 in binary?
100001011000101 (hexadecimal 42C5, octal 41305).
What is the square root of 17093?
About 130.7402.
Is 17093 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17093?
17093 is the 1970th prime number.