The number 8107
8107 is a composite number with 6 divisors. Its prime factorisation is Ć 67. Divisors (6): 1, 11, 67, 121, 737, 8107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8107 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8107 is composite. Its prime factorisation is
- 3
The divisors add up to 9044; without 8107 itself that is 937, so 8107 is deficient (937 is less than 8107). Euler's totient Ļ(8107) = 7260 numbers up to 8107 share no factor with it.
- 4
The digits of 8107 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8107 = 11^{2} \times 67 \]8107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9044 |
| Euler totient Ļ(n) | 7260 |
| Square | 65723449 |
| Cube | 532820001043 |
| Square root | 90.038880 (= 11ā67) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.107 Ć |
8107 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and seven |
| Binary (base 2) | 1111110101011 |
| Octal (base 8) | 17653 |
| Hexadecimal (base 16) | 1FAB |
| Base 3 | 102010021 |
| As time | 8107 seconds = 2 h 15 min 7 s |
Is 8107 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (8107 Ć· 11 = 737) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8107 a prime number?
No. 8107 = Ć 67, so it is divisible by 11.
What are the factors of 8107?
1, 11, 67, 121, 737, 8107.
What is 8107 in binary?
1111110101011 (hexadecimal 1FAB, octal 17653).
What is the square root of 8107?
About 90.0389, exactly 11ā67.
Is 8107 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 8107?
It is a composite number with 6 divisors.