The number 2144
2144 is a composite number with 12 divisors. Its prime factorisation is × 67. Divisors (12): 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2144 is composite. Its prime factorisation is
- 3
The divisors add up to 4284; without 2144 itself that is 2140, so 2144 is deficient (2140 is less than 2144). Euler's totient φ(2144) = 1056 numbers up to 2144 share no factor with it.
- 4
The digits of 2144 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2144 = 2^{5} \times 67 \]2144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4284 |
| Euler totient φ(n) | 1056 |
| Square | 4596736 |
| Cube | 9855401984 |
| Square root | 46.303348 (= 4√134) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.144 × |
2144 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and forty-four |
| Roman numerals | MMCXLIV |
| Binary (base 2) | 100001100000 |
| Octal (base 8) | 4140 |
| Hexadecimal (base 16) | 860 |
| Base 3 | 2221102 |
| As time | 2144 seconds = 35 min 44 s |
Is 2144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2144 ÷ 2 = 1072) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2144 ÷ 4 = 536) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (2144 ÷ 8 = 268) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2144 a prime number?
No. 2144 = × 67, so it is divisible by 2.
What are the factors of 2144?
1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144.
What is 2144 in binary?
100001100000 (hexadecimal 860, octal 4140).
What is the square root of 2144?
About 46.3033, exactly 4√134.
What is 2144 in Roman numerals?
MMCXLIV.
Is 2144 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2144?
It is a composite number with 12 divisors.