The number 5109
5109 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 131. Divisors (8): 1, 3, 13, 39, 131, 393, 1703, 5109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5109 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5109 is composite. Its prime factorisation is
- 3
The divisors add up to 7392; without 5109 itself that is 2283, so 5109 is deficient (2283 is less than 5109). Euler's totient φ(5109) = 3120 numbers up to 5109 share no factor with it.
- 4
The digits of 5109 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5109 = 3 \times 13 \times 131 \]
5109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7392 |
| Euler totient φ(n) | 3120 |
| Square | 26101881 |
| Cube | 133354510029 |
| Square root | 71.477269 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 59 |
| Scientific notation | 5.109 × |
5109 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and nine |
| Binary (base 2) | 1001111110101 |
| Octal (base 8) | 11765 |
| Hexadecimal (base 16) | 13F5 |
| Base 3 | 21000020 |
| As time | 5109 seconds = 1 h 25 min 9 s |
Is 5109 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 | Yes (5109 ÷ 3 = 1703) | 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 3) | 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 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5109 a prime number?
No. 5109 = 3 × 13 × 131, so it is divisible by 3.
What are the factors of 5109?
1, 3, 13, 39, 131, 393, 1703, 5109.
What is 5109 in binary?
1001111110101 (hexadecimal 13F5, octal 11765).
What is the square root of 5109?
About 71.4773.
Is 5109 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5109?
It is a composite number with 8 divisors.