The number 17123
17123 is the 1974th prime number. Its only divisors are 1 and 17123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17123: the 1974th prime number.
- 2
17123 is prime, so its only factors are 1 and 17123. It is the 1974th prime; the next prime is 17137 and the one before is 17117.
- 3
The divisors add up to 17124; without 17123 itself that is 1, so 17123 is deficient (1 is less than 17123). Euler's totient φ(17123) = 17122 numbers up to 17123 share no factor with it.
- 4
The digits of 17123 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
17123 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17124 |
| Euler totient φ(n) | 17122 |
| Square | 293197129 |
| Cube | 5020414439867 |
| Square root | 130.854881 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7123 × |
17123 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and twenty-three |
| Binary (base 2) | 100001011100011 |
| Octal (base 8) | 41343 |
| Hexadecimal (base 16) | 42E3 |
| Base 3 | 212111012 |
| As time | 17123 seconds = 4 h 45 min 23 s |
Is 17123 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 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 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 7) | 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 17123 a prime number?
Yes. 17123 is divisible only by 1 and itself.
What are the factors of 17123?
1, 17123.
What is 17123 in binary?
100001011100011 (hexadecimal 42E3, octal 41343).
What is the square root of 17123?
About 130.8549.
Is 17123 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 17123?
17123 is the 1974th prime number.