The number 5740
5740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 41. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205 … 5740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5740 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 5740 itself that is 8372, so 5740 is abundant (8372 is more than 5740). Euler's totient φ(5740) = 1920 numbers up to 5740 share no factor with it.
- 4
The digits of 5740 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5740 = 2^{2} \times 5 \times 7 \times 41 \]5740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 1920 |
| Square | 32947600 |
| Cube | 189119224000 |
| Square root | 75.762788 (= 2√1435) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.74 × |
5740 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty |
| Binary (base 2) | 1011001101100 |
| Octal (base 8) | 13154 |
| Hexadecimal (base 16) | 166C |
| Base 3 | 21212121 |
| As time | 5740 seconds = 1 h 35 min 40 s |
Is 5740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5740 ÷ 2 = 2870) | 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 (5740 ÷ 4 = 1435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5740 ÷ 5 = 1148) | 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 | Yes (5740 ÷ 7 = 820) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5740 ÷ 10 = 574) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 5740 a prime number?
No. 5740 = × 5 × 7 × 41, so it is divisible by 2.
What are the factors of 5740?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740.
What is 5740 in binary?
1011001101100 (hexadecimal 166C, octal 13154).
What is the square root of 5740?
About 75.7628, exactly 2√1435.
Is 5740 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5740?
It is a composite number with 24 divisors.