The number 5746
5746 is a composite number with 12 divisors. Its prime factorisation is 2 × × 17. Divisors (12): 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5746 is composite. Its prime factorisation is
- 3
The divisors add up to 9882; without 5746 itself that is 4136, so 5746 is deficient (4136 is less than 5746). Euler's totient φ(5746) = 2496 numbers up to 5746 share no factor with it.
- 4
The digits of 5746 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5746 = 2 \times 13^{2} \times 17 \]5746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9882 |
| Euler totient φ(n) | 2496 |
| Square | 33016516 |
| Cube | 189712900936 |
| Square root | 75.802375 (= 13√34) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 173 |
| Scientific notation | 5.746 × |
5746 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty-six |
| Binary (base 2) | 1011001110010 |
| Octal (base 8) | 13162 |
| Hexadecimal (base 16) | 1672 |
| Base 3 | 21212211 |
| As time | 5746 seconds = 1 h 35 min 46 s |
Is 5746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5746 ÷ 2 = 2873) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 2) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5746 a prime number?
No. 5746 = 2 × × 17, so it is divisible by 2.
What are the factors of 5746?
1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746.
What is 5746 in binary?
1011001110010 (hexadecimal 1672, octal 13162).
What is the square root of 5746?
About 75.8024, exactly 13√34.
Is 5746 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5746?
It is a composite number with 12 divisors.