The number 15017
15017 is the 1756th prime number. Its only divisors are 1 and 15017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15017: the 1756th prime number.
- 2
15017 is prime, so its only factors are 1 and 15017. It is the 1756th prime; the next prime is 15031 and the one before is 15013.
- 3
The divisors add up to 15018; without 15017 itself that is 1, so 15017 is deficient (1 is less than 15017). Euler's totient φ(15017) = 15016 numbers up to 15017 share no factor with it.
- 4
The digits of 15017 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 208 steps to reach 1.
15017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15018 |
| Euler totient φ(n) | 15016 |
| Square | 225510289 |
| Cube | 3386488009913 |
| Square root | 122.543870 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 208 |
| Scientific notation | 1.5017 × |
15017 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and seventeen |
| Binary (base 2) | 11101010101001 |
| Octal (base 8) | 35251 |
| Hexadecimal (base 16) | 3AA9 |
| Base 3 | 202121012 |
| As time | 15017 seconds = 4 h 10 min 17 s |
Is 15017 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 2) | 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 2) | 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 5) | 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 2) | 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 15017 a prime number?
Yes. 15017 is divisible only by 1 and itself.
What are the factors of 15017?
1, 15017.
What is 15017 in binary?
11101010101001 (hexadecimal 3AA9, octal 35251).
What is the square root of 15017?
About 122.5439.
Is 15017 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 15017?
15017 is the 1756th prime number.