The number 4109
4109 is a composite number with 4 divisors. Its prime factorisation is 7 × 587. Divisors (4): 1, 7, 587, 4109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4109: a semiprime: 7 × 587, the product of two primes.
- 2
4109 is composite. Its prime factorisation is
- 3
The divisors add up to 4704; without 4109 itself that is 595, so 4109 is deficient (595 is less than 4109). Euler's totient φ(4109) = 3516 numbers up to 4109 share no factor with it.
- 4
The digits of 4109 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4109 = 7 \times 587 \]
4109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4704 |
| Euler totient φ(n) | 3516 |
| Square | 16883881 |
| Cube | 69375867029 |
| Square root | 64.101482 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.109 × |
4109 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and nine |
| Binary (base 2) | 1000000001101 |
| Octal (base 8) | 10015 |
| Hexadecimal (base 16) | 100D |
| Base 3 | 12122012 |
| As time | 4109 seconds = 1 h 8 min 29 s |
Is 4109 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 | Yes (4109 ÷ 7 = 587) | 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 6) | 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 4109 a prime number?
No. 4109 = 7 × 587, so it is divisible by 7.
What are the factors of 4109?
1, 7, 587, 4109.
What is 4109 in binary?
1000000001101 (hexadecimal 100D, octal 10015).
What is the square root of 4109?
About 64.1015.
Is 4109 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4109?
4109 is a semiprime: 7 × 587, the product of two primes.