The number 5749
5749 is the 757th prime number. Its only divisors are 1 and 5749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5749: the 757th prime number.
- 2
5749 is prime, so its only factors are 1 and 5749. It is the 757th prime; the next prime is 5779 and the one before is 5743.
- 3
The divisors add up to 5750; without 5749 itself that is 1, so 5749 is deficient (1 is less than 5749). Euler's totient φ(5749) = 5748 numbers up to 5749 share no factor with it.
- 4
The digits of 5749 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
5749 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5750 |
| Euler totient φ(n) | 5748 |
| Square | 33051001 |
| Cube | 190010204749 |
| Square root | 75.822160 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.749 × |
5749 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty-nine |
| Binary (base 2) | 1011001110101 |
| Octal (base 8) | 13165 |
| Hexadecimal (base 16) | 1675 |
| Base 3 | 21212221 |
| As time | 5749 seconds = 1 h 35 min 49 s |
Is 5749 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 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 5749 a prime number?
Yes. 5749 is divisible only by 1 and itself.
What are the factors of 5749?
1, 5749.
What is 5749 in binary?
1011001110101 (hexadecimal 1675, octal 13165).
What is the square root of 5749?
About 75.8222.
Is 5749 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 5749?
5749 is the 757th prime number.