The number 2741
2741 is the 400th prime number. Its only divisors are 1 and 2741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2741: the 400th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2741 is prime, so its only factors are 1 and 2741. It is the 400th prime; the next prime is 2749 and the one before is 2731.
- 3
The divisors add up to 2742; without 2741 itself that is 1, so 2741 is deficient (1 is less than 2741). Euler's totient φ(2741) = 2740 numbers up to 2741 share no factor with it.
- 4
The digits of 2741 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
2741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2742 |
| Euler totient φ(n) | 2740 |
| Square | 7513081 |
| Cube | 20593355021 |
| Square root | 52.354560 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 128 |
| Scientific notation | 2.741 × |
2741 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and forty-one |
| Roman numerals | MMDCCXLI |
| Binary (base 2) | 101010110101 |
| Octal (base 8) | 5265 |
| Hexadecimal (base 16) | AB5 |
| Base 3 | 10202112 |
| As time | 2741 seconds = 45 min 41 s |
Is 2741 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | 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 2741 a prime number?
Yes. 2741 is divisible only by 1 and itself.
What are the factors of 2741?
1, 2741.
What is 2741 in binary?
101010110101 (hexadecimal AB5, octal 5265).
What is the square root of 2741?
About 52.3546.
What is 2741 in Roman numerals?
MMDCCXLI.
Is 2741 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2741?
2741 is the 400th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.