The number 17137
17137 is the 1975th prime number. Its only divisors are 1 and 17137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17137: the 1975th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17137 is prime, so its only factors are 1 and 17137. It is the 1975th prime; the next prime is 17159 and the one before is 17123.
- 3
The divisors add up to 17138; without 17137 itself that is 1, so 17137 is deficient (1 is less than 17137). Euler's totient φ(17137) = 17136 numbers up to 17137 share no factor with it.
- 4
The digits of 17137 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
17137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17138 |
| Euler totient φ(n) | 17136 |
| Square | 293676769 |
| Cube | 5032738790353 |
| Square root | 130.908365 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7137 × |
17137 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and thirty-seven |
| Binary (base 2) | 100001011110001 |
| Octal (base 8) | 41361 |
| Hexadecimal (base 16) | 42F1 |
| Base 3 | 212111201 |
| As time | 17137 seconds = 4 h 45 min 37 s |
Is 17137 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 1) | 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 10) | 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 17137 a prime number?
Yes. 17137 is divisible only by 1 and itself.
What are the factors of 17137?
1, 17137.
What is 17137 in binary?
100001011110001 (hexadecimal 42F1, octal 41361).
What is the square root of 17137?
About 130.9084.
Is 17137 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17137?
17137 is the 1975th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.