The number 741
741 is a triangular number: 1 + 2 + … + 38 = 741. Its prime factorisation is 3 × 13 × 19. Divisors (8): 1, 3, 13, 19, 39, 57, 247, 741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 741: a triangular number: 1 + 2 + … + 38 = 741.
- 2
741 is composite. Its prime factorisation is
- 3
The divisors add up to 1120; without 741 itself that is 379, so 741 is deficient (379 is less than 741). Euler's totient φ(741) = 432 numbers up to 741 share no factor with it.
- 4
The digits of 741 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 741 = 3 \times 13 \times 19 \]
741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1120 |
| Euler totient φ(n) | 432 |
| Square | 549081 |
| Cube | 406869021 |
| Square root | 27.221315 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 7.41 × |
741 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and forty-one |
| Roman numerals | DCCXLI |
| Binary (base 2) | 1011100101 |
| Octal (base 8) | 1345 |
| Hexadecimal (base 16) | 2E5 |
| Base 3 | 1000110 |
| As time | 741 seconds = 12 min 21 s |
Is 741 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 | Yes (741 ÷ 3 = 247) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 741 a prime number?
No. 741 = 3 × 13 × 19, so it is divisible by 3.
What are the factors of 741?
1, 3, 13, 19, 39, 57, 247, 741.
What is 741 in binary?
1011100101 (hexadecimal 2E5, octal 1345).
What is the square root of 741?
About 27.2213.
What is 741 in Roman numerals?
DCCXLI.
Is 741 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 741?
741 is a triangular number: 1 + 2 + … + 38 = 741.