The number 1741
1741 is the 271st prime number. Its only divisors are 1 and 1741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1741: the 271st prime number.
- 2
1741 is prime, so its only factors are 1 and 1741. It is the 271st prime; the next prime is 1747 and the one before is 1733.
- 3
The divisors add up to 1742; without 1741 itself that is 1, so 1741 is deficient (1 is less than 1741). Euler's totient φ(1741) = 1740 numbers up to 1741 share no factor with it.
- 4
The digits of 1741 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
1741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1742 |
| Euler totient φ(n) | 1740 |
| Square | 3031081 |
| Cube | 5277112021 |
| Square root | 41.725292 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.741 × |
1741 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and forty-one |
| Roman numerals | MDCCXLI |
| Binary (base 2) | 11011001101 |
| Octal (base 8) | 3315 |
| Hexadecimal (base 16) | 6CD |
| Base 3 | 2101111 |
| As time | 1741 seconds = 29 min 1 s |
Is 1741 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 1) | 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 5) | 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 4) | 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 3) | 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 1741 a prime number?
Yes. 1741 is divisible only by 1 and itself.
What are the factors of 1741?
1, 1741.
What is 1741 in binary?
11011001101 (hexadecimal 6CD, octal 3315).
What is the square root of 1741?
About 41.7253.
What is 1741 in Roman numerals?
MDCCXLI.
Is 1741 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1741?
1741 is the 271st prime number.