The number 29017
29017 is the 3155th prime number. Its only divisors are 1 and 29017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29017: the 3155th prime number.
- 2
29017 is prime, so its only factors are 1 and 29017. It is the 3155th prime; the next prime is 29021 and the one before is 29009.
- 3
The divisors add up to 29018; without 29017 itself that is 1, so 29017 is deficient (1 is less than 29017). Euler's totient φ(29017) = 29016 numbers up to 29017 share no factor with it.
- 4
The digits of 29017 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 183 steps to reach 1.
29017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29018 |
| Euler totient φ(n) | 29016 |
| Square | 841986289 |
| Cube | 24431916147913 |
| Square root | 170.343770 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.9017 × |
29017 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and seventeen |
| Binary (base 2) | 111000101011001 |
| Octal (base 8) | 70531 |
| Hexadecimal (base 16) | 7159 |
| Base 3 | 1110210201 |
| As time | 29017 seconds = 8 h 3 min 37 s |
Is 29017 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 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 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 29017 a prime number?
Yes. 29017 is divisible only by 1 and itself.
What are the factors of 29017?
1, 29017.
What is 29017 in binary?
111000101011001 (hexadecimal 7159, octal 70531).
What is the square root of 29017?
About 170.3438.
Is 29017 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 29017?
29017 is the 3155th prime number.