The number 5748
5748 is a composite number with 12 divisors. Its prime factorisation is × 3 × 479. Divisors (12): 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5748 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 5748 itself that is 7692, so 5748 is abundant (7692 is more than 5748). Euler's totient φ(5748) = 1912 numbers up to 5748 share no factor with it.
- 4
The digits of 5748 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5748 = 2^{2} \times 3 \times 479 \]5748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 1912 |
| Square | 33039504 |
| Cube | 189911068992 |
| Square root | 75.815566 (= 2√1437) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.748 × |
5748 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty-eight |
| Binary (base 2) | 1011001110100 |
| Octal (base 8) | 13164 |
| Hexadecimal (base 16) | 1674 |
| Base 3 | 21212220 |
| As time | 5748 seconds = 1 h 35 min 48 s |
Is 5748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5748 ÷ 2 = 2874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5748 ÷ 3 = 1916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5748 ÷ 4 = 1437) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5748 ÷ 6 = 958) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5748 ÷ 12 = 479) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5748 a prime number?
No. 5748 = × 3 × 479, so it is divisible by 2.
What are the factors of 5748?
1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748.
What is 5748 in binary?
1011001110100 (hexadecimal 1674, octal 13164).
What is the square root of 5748?
About 75.8156, exactly 2√1437.
Is 5748 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5748?
It is a composite number with 12 divisors.