The number 5741
5741 is a twin prime (5741 and 5743 are both prime) and the 755th prime number. Its only divisors are 1 and 5741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5741: a twin prime (5741 and 5743 are both prime); the 755th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5741 is prime, so its only factors are 1 and 5741. It is the 755th prime; the next prime is 5743 and the one before is 5737.
- 3
The divisors add up to 5742; without 5741 itself that is 1, so 5741 is deficient (1 is less than 5741). Euler's totient φ(5741) = 5740 numbers up to 5741 share no factor with it.
- 4
The digits of 5741 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 80 steps to reach 1.
5741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5742 |
| Euler totient φ(n) | 5740 |
| Square | 32959081 |
| Cube | 189218084021 |
| Square root | 75.769387 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.741 × |
5741 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty-one |
| Binary (base 2) | 1011001101101 |
| Octal (base 8) | 13155 |
| Hexadecimal (base 16) | 166D |
| Base 3 | 21212122 |
| As time | 5741 seconds = 1 h 35 min 41 s |
Is 5741 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5741 a prime number?
Yes. 5741 is divisible only by 1 and itself.
What are the factors of 5741?
1, 5741.
What is 5741 in binary?
1011001101101 (hexadecimal 166D, octal 13155).
What is the square root of 5741?
About 75.7694.
Is 5741 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5741?
5741 is a twin prime (5741 and 5743 are both prime); the 755th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.