The number 17027
17027 is a twin prime (17027 and 17029 are both prime) and the 1963rd prime number. Its only divisors are 1 and 17027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17027: a twin prime (17027 and 17029 are both prime); the 1963rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17027 is prime, so its only factors are 1 and 17027. It is the 1963rd prime; the next prime is 17029 and the one before is 17021.
- 3
The divisors add up to 17028; without 17027 itself that is 1, so 17027 is deficient (1 is less than 17027). Euler's totient φ(17027) = 17026 numbers up to 17027 share no factor with it.
- 4
The digits of 17027 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
17027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17028 |
| Euler totient φ(n) | 17026 |
| Square | 289918729 |
| Cube | 4936446198683 |
| Square root | 130.487547 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.7027 × |
17027 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and twenty-seven |
| Binary (base 2) | 100001010000011 |
| Octal (base 8) | 41203 |
| Hexadecimal (base 16) | 4283 |
| Base 3 | 212100122 |
| As time | 17027 seconds = 4 h 43 min 47 s |
Is 17027 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 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 3) | 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 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17027 a prime number?
Yes. 17027 is divisible only by 1 and itself.
What are the factors of 17027?
1, 17027.
What is 17027 in binary?
100001010000011 (hexadecimal 4283, octal 41203).
What is the square root of 17027?
About 130.4875.
Is 17027 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17027?
17027 is a twin prime (17027 and 17029 are both prime); the 1963rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.