The number 5757
5757 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 101. Divisors (8): 1, 3, 19, 57, 101, 303, 1919, 5757.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5757 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5757 is composite. Its prime factorisation is
- 3
The divisors add up to 8160; without 5757 itself that is 2403, so 5757 is deficient (2403 is less than 5757). Euler's totient φ(5757) = 3600 numbers up to 5757 share no factor with it.
- 4
The digits of 5757 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5757 = 3 \times 19 \times 101 \]
5757 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8160 |
| Euler totient φ(n) | 3600 |
| Square | 33143049 |
| Cube | 190804533093 |
| Square root | 75.874897 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.757 × |
5757 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and fifty-seven |
| Binary (base 2) | 1011001111101 |
| Octal (base 8) | 13175 |
| Hexadecimal (base 16) | 167D |
| Base 3 | 21220020 |
| As time | 5757 seconds = 1 h 35 min 57 s |
Is 5757 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 | Yes (5757 ÷ 3 = 1919) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | 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 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5757 a prime number?
No. 5757 = 3 × 19 × 101, so it is divisible by 3.
What are the factors of 5757?
1, 3, 19, 57, 101, 303, 1919, 5757.
What is 5757 in binary?
1011001111101 (hexadecimal 167D, octal 13175).
What is the square root of 5757?
About 75.8749.
Is 5757 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5757?
It is a composite number with 8 divisors.