The number 17029
17029 is a twin prime (17027 and 17029 are both prime) and the 1964th prime number. Its only divisors are 1 and 17029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17029: a twin prime (17027 and 17029 are both prime); the 1964th prime number.
- 2
17029 is prime, so its only factors are 1 and 17029. It is the 1964th prime; the next prime is 17033 and the one before is 17027.
- 3
The divisors add up to 17030; without 17029 itself that is 1, so 17029 is deficient (1 is less than 17029). Euler's totient φ(17029) = 17028 numbers up to 17029 share no factor with it.
- 4
The digits of 17029 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 40 steps to reach 1.
17029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17030 |
| Euler totient φ(n) | 17028 |
| Square | 289986841 |
| Cube | 4938185915389 |
| Square root | 130.495211 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.7029 × |
17029 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and twenty-nine |
| Binary (base 2) | 100001010000101 |
| Octal (base 8) | 41205 |
| Hexadecimal (base 16) | 4285 |
| Base 3 | 212100201 |
| As time | 17029 seconds = 4 h 43 min 49 s |
Is 17029 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 4) | 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 5) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 17029 a prime number?
Yes. 17029 is divisible only by 1 and itself.
What are the factors of 17029?
1, 17029.
What is 17029 in binary?
100001010000101 (hexadecimal 4285, octal 41205).
What is the square root of 17029?
About 130.4952.
Is 17029 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17029?
17029 is a twin prime (17027 and 17029 are both prime); the 1964th prime number.