The number 4107
4107 is a composite number with 6 divisors. Its prime factorisation is 3 Ć . Divisors (6): 1, 3, 37, 111, 1369, 4107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4107 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4107 is composite. Its prime factorisation is
- 3
The divisors add up to 5628; without 4107 itself that is 1521, so 4107 is deficient (1521 is less than 4107). Euler's totient Ļ(4107) = 2664 numbers up to 4107 share no factor with it.
- 4
The digits of 4107 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4107 = 3 \times 37^{2} \]4107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5628 |
| Euler totient Ļ(n) | 2664 |
| Square | 16867449 |
| Cube | 69274613043 |
| Square root | 64.085880 (= 37ā3) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.107 Ć |
4107 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and seven |
| Binary (base 2) | 1000000001011 |
| Octal (base 8) | 10013 |
| Hexadecimal (base 16) | 100B |
| Base 3 | 12122010 |
| As time | 4107 seconds = 1 h 8 min 27 s |
Is 4107 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 (4107 Ć· 3 = 1369) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4107 a prime number?
No. 4107 = 3 Ć , so it is divisible by 3.
What are the factors of 4107?
1, 3, 37, 111, 1369, 4107.
What is 4107 in binary?
1000000001011 (hexadecimal 100B, octal 10013).
What is the square root of 4107?
About 64.0859, exactly 37ā3.
Is 4107 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4107?
It is a composite number with 6 divisors.