The number 2163
2163 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 103. Divisors (8): 1, 3, 7, 21, 103, 309, 721, 2163.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2163 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2163 is composite. Its prime factorisation is
- 3
The divisors add up to 3328; without 2163 itself that is 1165, so 2163 is deficient (1165 is less than 2163). Euler's totient φ(2163) = 1224 numbers up to 2163 share no factor with it.
- 4
The digits of 2163 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2163 = 3 \times 7 \times 103 \]
2163 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3328 |
| Euler totient φ(n) | 1224 |
| Square | 4678569 |
| Cube | 10119744747 |
| Square root | 46.508064 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 2.163 × |
2163 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and sixty-three |
| Roman numerals | MMCLXIII |
| Binary (base 2) | 100001110011 |
| Octal (base 8) | 4163 |
| Hexadecimal (base 16) | 873 |
| Base 3 | 2222010 |
| As time | 2163 seconds = 36 min 3 s |
Is 2163 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 (2163 ÷ 3 = 721) | 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 3) | 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 | Yes (2163 ÷ 7 = 309) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 2163 a prime number?
No. 2163 = 3 × 7 × 103, so it is divisible by 3.
What are the factors of 2163?
1, 3, 7, 21, 103, 309, 721, 2163.
What is 2163 in binary?
100001110011 (hexadecimal 873, octal 4163).
What is the square root of 2163?
About 46.5081.
What is 2163 in Roman numerals?
MMCLXIII.
Is 2163 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2163?
It is a composite number with 8 divisors.