The number 2744
2744 is a perfect cube (). Its prime factorisation is × . Divisors (16): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2744: a perfect cube ().
- 2
2744 is composite. Its prime factorisation is
- 3
The divisors add up to 6000; without 2744 itself that is 3256, so 2744 is abundant (3256 is more than 2744). Euler's totient φ(2744) = 1176 numbers up to 2744 share no factor with it.
- 4
The digits of 2744 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2744 = 2^{3} \times 7^{3} \]2744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6000 |
| Euler totient φ(n) | 1176 |
| Square | 7529536 |
| Cube | 20661046784 |
| Square root | 52.383203 (= 14√14) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 128 |
| Scientific notation | 2.744 × |
| Perfect power |
2744 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and forty-four |
| Roman numerals | MMDCCXLIV |
| Binary (base 2) | 101010111000 |
| Octal (base 8) | 5270 |
| Hexadecimal (base 16) | AB8 |
| Base 3 | 10202122 |
| As time | 2744 seconds = 45 min 44 s |
Is 2744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2744 ÷ 2 = 1372) | 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 (2744 ÷ 4 = 686) | 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 | Yes (2744 ÷ 7 = 392) | 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 (2744 ÷ 8 = 343) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 2744 a prime number?
No. 2744 = × , so it is divisible by 2.
What are the factors of 2744?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744.
What is 2744 in binary?
101010111000 (hexadecimal AB8, octal 5270).
What is the square root of 2744?
About 52.3832, exactly 14√14.
What is 2744 in Roman numerals?
MMDCCXLIV.
Is 2744 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2744?
2744 is a perfect cube ().