The number 2106
2106 is a composite number with 20 divisors. Its prime factorisation is 2 × × 13. Divisors (20): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234 … 2106.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2106: a Harshad number: divisible by its digit sum 9.
- 2
2106 is composite. Its prime factorisation is
- 3
The divisors add up to 5082; without 2106 itself that is 2976, so 2106 is abundant (2976 is more than 2106). Euler's totient φ(2106) = 648 numbers up to 2106 share no factor with it.
- 4
The digits of 2106 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2106 = 2 \times 3^{4} \times 13 \]2106 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 5082 |
| Euler totient φ(n) | 648 |
| Square | 4435236 |
| Cube | 9340607016 |
| Square root | 45.891176 (= 9√26) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 2.106 × |
2106 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and six |
| Roman numerals | MMCVI |
| Binary (base 2) | 100000111010 |
| Octal (base 8) | 4072 |
| Hexadecimal (base 16) | 83A |
| Base 3 | 2220000 |
| As time | 2106 seconds = 35 min 6 s |
Is 2106 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2106 ÷ 2 = 1053) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2106 ÷ 3 = 702) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2106 ÷ 6 = 351) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2106 ÷ 9 = 234) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2106 a prime number?
No. 2106 = 2 × × 13, so it is divisible by 2.
What are the factors of 2106?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106.
What is 2106 in binary?
100000111010 (hexadecimal 83A, octal 4072).
What is the square root of 2106?
About 45.8912, exactly 9√26.
What is 2106 in Roman numerals?
MMCVI.
Is 2106 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2106?
2106 is a Harshad number: divisible by its digit sum 9.