The number 5747
5747 is a composite number with 4 divisors. Its prime factorisation is 7 × 821. Divisors (4): 1, 7, 821, 5747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5747: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 821, the product of two primes.
- 2
5747 is composite. Its prime factorisation is
- 3
The divisors add up to 6576; without 5747 itself that is 829, so 5747 is deficient (829 is less than 5747). Euler's totient φ(5747) = 4920 numbers up to 5747 share no factor with it.
- 4
The digits of 5747 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5747 = 7 \times 821 \]
5747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6576 |
| Euler totient φ(n) | 4920 |
| Square | 33028009 |
| Cube | 189811967723 |
| Square root | 75.808970 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 173 |
| Scientific notation | 5.747 × |
5747 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty-seven |
| Binary (base 2) | 1011001110011 |
| Octal (base 8) | 13163 |
| Hexadecimal (base 16) | 1673 |
| Base 3 | 21212212 |
| As time | 5747 seconds = 1 h 35 min 47 s |
Is 5747 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5747 ÷ 7 = 821) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5747 a prime number?
No. 5747 = 7 × 821, so it is divisible by 7.
What are the factors of 5747?
1, 7, 821, 5747.
What is 5747 in binary?
1011001110011 (hexadecimal 1673, octal 13163).
What is the square root of 5747?
About 75.8090.
Is 5747 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5747?
5747 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 821, the product of two primes.