The number 23017
23017 is the 2567th prime number. Its only divisors are 1 and 23017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23017: the 2567th prime number.
- 2
23017 is prime, so its only factors are 1 and 23017. It is the 2567th prime; the next prime is 23021 and the one before is 23011.
- 3
The divisors add up to 23018; without 23017 itself that is 1, so 23017 is deficient (1 is less than 23017). Euler's totient φ(23017) = 23016 numbers up to 23017 share no factor with it.
- 4
The digits of 23017 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
23017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 23018 |
| Euler totient φ(n) | 23016 |
| Square | 529782289 |
| Cube | 12193998945913 |
| Square root | 151.713546 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.3017 × |
23017 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and seventeen |
| Binary (base 2) | 101100111101001 |
| Octal (base 8) | 54751 |
| Hexadecimal (base 16) | 59E9 |
| Base 3 | 1011120111 |
| As time | 23017 seconds = 6 h 23 min 37 s |
Is 23017 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 1) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23017 a prime number?
Yes. 23017 is divisible only by 1 and itself.
What are the factors of 23017?
1, 23017.
What is 23017 in binary?
101100111101001 (hexadecimal 59E9, octal 54751).
What is the square root of 23017?
About 151.7135.
Is 23017 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 23017?
23017 is the 2567th prime number.