The number 17107
17107 is the 1972nd prime number. Its only divisors are 1 and 17107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17107: the 1972nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17107 is prime, so its only factors are 1 and 17107. It is the 1972nd prime; the next prime is 17117 and the one before is 17099.
- 3
The divisors add up to 17108; without 17107 itself that is 1, so 17107 is deficient (1 is less than 17107). Euler's totient φ(17107) = 17106 numbers up to 17107 share no factor with it.
- 4
The digits of 17107 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
17107 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17108 |
| Euler totient φ(n) | 17106 |
| Square | 292649449 |
| Cube | 5006354124043 |
| Square root | 130.793731 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.7107 × |
17107 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and seven |
| Binary (base 2) | 100001011010011 |
| Octal (base 8) | 41323 |
| Hexadecimal (base 16) | 42D3 |
| Base 3 | 212110121 |
| As time | 17107 seconds = 4 h 45 min 7 s |
Is 17107 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 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17107 a prime number?
Yes. 17107 is divisible only by 1 and itself.
What are the factors of 17107?
1, 17107.
What is 17107 in binary?
100001011010011 (hexadecimal 42D3, octal 41323).
What is the square root of 17107?
About 130.7937.
Is 17107 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17107?
17107 is the 1972nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.