The number 5737
5737 is the 754th prime number. Its only divisors are 1 and 5737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5737: the 754th prime number.
- 2
5737 is prime, so its only factors are 1 and 5737. It is the 754th prime; the next prime is 5741 and the one before is 5717.
- 3
The divisors add up to 5738; without 5737 itself that is 1, so 5737 is deficient (1 is less than 5737). Euler's totient φ(5737) = 5736 numbers up to 5737 share no factor with it.
- 4
The digits of 5737 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
5737 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5738 |
| Euler totient φ(n) | 5736 |
| Square | 32913169 |
| Cube | 188822850553 |
| Square root | 75.742986 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 5.737 × |
5737 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and thirty-seven |
| Binary (base 2) | 1011001101001 |
| Octal (base 8) | 13151 |
| Hexadecimal (base 16) | 1669 |
| Base 3 | 21212111 |
| As time | 5737 seconds = 1 h 35 min 37 s |
Is 5737 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5737 a prime number?
Yes. 5737 is divisible only by 1 and itself.
What are the factors of 5737?
1, 5737.
What is 5737 in binary?
1011001101001 (hexadecimal 1669, octal 13151).
What is the square root of 5737?
About 75.7430.
Is 5737 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5737?
5737 is the 754th prime number.