The number 9059
9059 is the 1126th prime number. Its only divisors are 1 and 9059.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9059: the 1126th prime number.
- 2
9059 is prime, so its only factors are 1 and 9059. It is the 1126th prime; the next prime is 9067 and the one before is 9049.
- 3
The divisors add up to 9060; without 9059 itself that is 1, so 9059 is deficient (1 is less than 9059). Euler's totient φ(9059) = 9058 numbers up to 9059 share no factor with it.
- 4
The digits of 9059 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
9059 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9060 |
| Euler totient φ(n) | 9058 |
| Square | 82065481 |
| Cube | 743431192379 |
| Square root | 95.178779 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 9.059 × |
9059 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and fifty-nine |
| Binary (base 2) | 10001101100011 |
| Octal (base 8) | 21543 |
| Hexadecimal (base 16) | 2363 |
| Base 3 | 110102112 |
| As time | 9059 seconds = 2 h 30 min 59 s |
Is 9059 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 9059 a prime number?
Yes. 9059 is divisible only by 1 and itself.
What are the factors of 9059?
1, 9059.
What is 9059 in binary?
10001101100011 (hexadecimal 2363, octal 21543).
What is the square root of 9059?
About 95.1788.
Is 9059 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9059?
9059 is the 1126th prime number.