The number 13109
13109 is the 1560th prime number. Its only divisors are 1 and 13109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13109: the 1560th prime number.
- 2
13109 is prime, so its only factors are 1 and 13109. It is the 1560th prime; the next prime is 13121 and the one before is 13103.
- 3
The divisors add up to 13110; without 13109 itself that is 1, so 13109 is deficient (1 is less than 13109). Euler's totient φ(13109) = 13108 numbers up to 13109 share no factor with it.
- 4
The digits of 13109 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
13109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13110 |
| Euler totient φ(n) | 13108 |
| Square | 171845881 |
| Cube | 2252727654029 |
| Square root | 114.494541 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3109 × |
13109 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and nine |
| Binary (base 2) | 11001100110101 |
| Octal (base 8) | 31465 |
| Hexadecimal (base 16) | 3335 |
| Base 3 | 122222112 |
| As time | 13109 seconds = 3 h 38 min 29 s |
Is 13109 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 5) | 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 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 8) | 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 13109 a prime number?
Yes. 13109 is divisible only by 1 and itself.
What are the factors of 13109?
1, 13109.
What is 13109 in binary?
11001100110101 (hexadecimal 3335, octal 31465).
What is the square root of 13109?
About 114.4945.
Is 13109 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13109?
13109 is the 1560th prime number.