The number 5735
5735 is a composite number with 8 divisors. Its prime factorisation is 5 × 31 × 37. Divisors (8): 1, 5, 31, 37, 155, 185, 1147, 5735.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5735 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5735 is composite. Its prime factorisation is
- 3
The divisors add up to 7296; without 5735 itself that is 1561, so 5735 is deficient (1561 is less than 5735). Euler's totient φ(5735) = 4320 numbers up to 5735 share no factor with it.
- 4
The digits of 5735 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5735 = 5 \times 31 \times 37 \]
5735 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7296 |
| Euler totient φ(n) | 4320 |
| Square | 32890225 |
| Cube | 188625440375 |
| Square root | 75.729783 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 173 |
| Scientific notation | 5.735 × |
5735 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and thirty-five |
| Binary (base 2) | 1011001100111 |
| Octal (base 8) | 13147 |
| Hexadecimal (base 16) | 1667 |
| Base 3 | 21212102 |
| As time | 5735 seconds = 1 h 35 min 35 s |
Is 5735 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 | Yes (5735 ÷ 5 = 1147) | 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 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5735 a prime number?
No. 5735 = 5 × 31 × 37, so it is divisible by 5.
What are the factors of 5735?
1, 5, 31, 37, 155, 185, 1147, 5735.
What is 5735 in binary?
1011001100111 (hexadecimal 1667, octal 13147).
What is the square root of 5735?
About 75.7298.
Is 5735 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5735?
It is a composite number with 8 divisors.