The number 9109
9109 is the 1130th prime number. Its only divisors are 1 and 9109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9109: the 1130th prime number.
- 2
9109 is prime, so its only factors are 1 and 9109. It is the 1130th prime; the next prime is 9127 and the one before is 9103.
- 3
The divisors add up to 9110; without 9109 itself that is 1, so 9109 is deficient (1 is less than 9109). Euler's totient φ(9109) = 9108 numbers up to 9109 share no factor with it.
- 4
The digits of 9109 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 60 steps to reach 1.
9109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9110 |
| Euler totient φ(n) | 9108 |
| Square | 82973881 |
| Cube | 755809082029 |
| Square root | 95.441081 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.109 × |
9109 in other forms
| Form | Value |
|---|---|
| In words | nine thousand one hundred and nine |
| Binary (base 2) | 10001110010101 |
| Octal (base 8) | 21625 |
| Hexadecimal (base 16) | 2395 |
| Base 3 | 110111101 |
| As time | 9109 seconds = 2 h 31 min 49 s |
Is 9109 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 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 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 9109 a prime number?
Yes. 9109 is divisible only by 1 and itself.
What are the factors of 9109?
1, 9109.
What is 9109 in binary?
10001110010101 (hexadecimal 2395, octal 21625).
What is the square root of 9109?
About 95.4411.
Is 9109 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9109?
9109 is the 1130th prime number.