The number 3109
3109 is the 443rd prime number. Its only divisors are 1 and 3109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3109: the 443rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3109 is prime, so its only factors are 1 and 3109. It is the 443rd prime; the next prime is 3119 and the one before is 3089.
- 3
The divisors add up to 3110; without 3109 itself that is 1, so 3109 is deficient (1 is less than 3109). Euler's totient φ(3109) = 3108 numbers up to 3109 share no factor with it.
- 4
The digits of 3109 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
3109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3110 |
| Euler totient φ(n) | 3108 |
| Square | 9665881 |
| Cube | 30051224029 |
| Square root | 55.758407 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.109 × |
3109 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and nine |
| Roman numerals | MMMCIX |
| Binary (base 2) | 110000100101 |
| Octal (base 8) | 6045 |
| Hexadecimal (base 16) | C25 |
| Base 3 | 11021011 |
| As time | 3109 seconds = 51 min 49 s |
Is 3109 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | 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 3109 a prime number?
Yes. 3109 is divisible only by 1 and itself.
What are the factors of 3109?
1, 3109.
What is 3109 in binary?
110000100101 (hexadecimal C25, octal 6045).
What is the square root of 3109?
About 55.7584.
What is 3109 in Roman numerals?
MMMCIX.
Is 3109 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3109?
3109 is the 443rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.