The number 9029
9029 is the 1122nd prime number. Its only divisors are 1 and 9029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9029: the 1122nd prime number.
- 2
9029 is prime, so its only factors are 1 and 9029. It is the 1122nd prime; the next prime is 9041 and the one before is 9013.
- 3
The divisors add up to 9030; without 9029 itself that is 1, so 9029 is deficient (1 is less than 9029). Euler's totient φ(9029) = 9028 numbers up to 9029 share no factor with it.
- 4
The digits of 9029 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
9029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9030 |
| Euler totient φ(n) | 9028 |
| Square | 81522841 |
| Cube | 736069731389 |
| Square root | 95.021050 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 39 |
| Scientific notation | 9.029 × |
9029 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and twenty-nine |
| Binary (base 2) | 10001101000101 |
| Octal (base 8) | 21505 |
| Hexadecimal (base 16) | 2345 |
| Base 3 | 110101102 |
| As time | 9029 seconds = 2 h 30 min 29 s |
Is 9029 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 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9029 a prime number?
Yes. 9029 is divisible only by 1 and itself.
What are the factors of 9029?
1, 9029.
What is 9029 in binary?
10001101000101 (hexadecimal 2345, octal 21505).
What is the square root of 9029?
About 95.0211.
Is 9029 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9029?
9029 is the 1122nd prime number.