The number 2107
2107 is a composite number with 6 divisors. Its prime factorisation is Ć 43. Divisors (6): 1, 7, 43, 49, 301, 2107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2107 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2107 is composite. Its prime factorisation is
- 3
The divisors add up to 2508; without 2107 itself that is 401, so 2107 is deficient (401 is less than 2107). Euler's totient Ļ(2107) = 1764 numbers up to 2107 share no factor with it.
- 4
The digits of 2107 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2107 = 7^{2} \times 43 \]2107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2508 |
| Euler totient Ļ(n) | 1764 |
| Square | 4439449 |
| Cube | 9353919043 |
| Square root | 45.902070 (= 7ā43) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 2.107 Ć |
2107 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and seven |
| Roman numerals | MMCVII |
| Binary (base 2) | 100000111011 |
| Octal (base 8) | 4073 |
| Hexadecimal (base 16) | 83B |
| Base 3 | 2220001 |
| As time | 2107 seconds = 35 min 7 s |
Is 2107 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 | Yes (2107 Ć· 7 = 301) | 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 1) | 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 6) | 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 2107 a prime number?
No. 2107 = Ć 43, so it is divisible by 7.
What are the factors of 2107?
1, 7, 43, 49, 301, 2107.
What is 2107 in binary?
100000111011 (hexadecimal 83B, octal 4073).
What is the square root of 2107?
About 45.9021, exactly 7ā43.
What is 2107 in Roman numerals?
MMCVII.
Is 2107 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2107?
It is a composite number with 6 divisors.