The number 5750
5750 is a composite number with 16 divisors. Its prime factorisation is 2 × × 23. Divisors (16): 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5750 is composite. Its prime factorisation is
- 3
The divisors add up to 11232; without 5750 itself that is 5482, so 5750 is deficient (5482 is less than 5750). Euler's totient φ(5750) = 2200 numbers up to 5750 share no factor with it.
- 4
The digits of 5750 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5750 = 2 \times 5^{3} \times 23 \]5750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11232 |
| Euler totient φ(n) | 2200 |
| Square | 33062500 |
| Cube | 190109375000 |
| Square root | 75.828754 (= 5√230) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.75 × |
5750 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and fifty |
| Binary (base 2) | 1011001110110 |
| Octal (base 8) | 13166 |
| Hexadecimal (base 16) | 1676 |
| Base 3 | 21212222 |
| As time | 5750 seconds = 1 h 35 min 50 s |
Is 5750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5750 ÷ 2 = 2875) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5750 ÷ 5 = 1150) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5750 ÷ 10 = 575) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5750 a prime number?
No. 5750 = 2 × × 23, so it is divisible by 2.
What are the factors of 5750?
1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750.
What is 5750 in binary?
1011001110110 (hexadecimal 1676, octal 13166).
What is the square root of 5750?
About 75.8288, exactly 5√230.
Is 5750 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5750?
It is a composite number with 16 divisors.