The number 2740
2740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 137. Divisors (12): 1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2740 is composite. Its prime factorisation is
- 3
The divisors add up to 5796; without 2740 itself that is 3056, so 2740 is abundant (3056 is more than 2740). Euler's totient φ(2740) = 1088 numbers up to 2740 share no factor with it.
- 4
The digits of 2740 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2740 = 2^{2} \times 5 \times 137 \]2740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5796 |
| Euler totient φ(n) | 1088 |
| Square | 7507600 |
| Cube | 20570824000 |
| Square root | 52.345009 (= 2√685) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 2.74 × |
2740 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and forty |
| Roman numerals | MMDCCXL |
| Binary (base 2) | 101010110100 |
| Octal (base 8) | 5264 |
| Hexadecimal (base 16) | AB4 |
| Base 3 | 10202111 |
| As time | 2740 seconds = 45 min 40 s |
Is 2740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2740 ÷ 2 = 1370) | 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 | Yes (2740 ÷ 4 = 685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2740 ÷ 5 = 548) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2740 ÷ 10 = 274) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2740 a prime number?
No. 2740 = × 5 × 137, so it is divisible by 2.
What are the factors of 2740?
1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740.
What is 2740 in binary?
101010110100 (hexadecimal AB4, octal 5264).
What is the square root of 2740?
About 52.3450, exactly 2√685.
What is 2740 in Roman numerals?
MMDCCXL.
Is 2740 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2740?
It is a composite number with 12 divisors.