The number 711
711 is a composite number with 6 divisors. Its prime factorisation is × 79. Divisors (6): 1, 3, 9, 79, 237, 711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 711: a Harshad number: divisible by its digit sum 9.
- 2
711 is composite. Its prime factorisation is
- 3
The divisors add up to 1040; without 711 itself that is 329, so 711 is deficient (329 is less than 711). Euler's totient φ(711) = 468 numbers up to 711 share no factor with it.
- 4
The digits of 711 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 711 = 3^{2} \times 79 \]711 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1040 |
| Euler totient φ(n) | 468 |
| Square | 505521 |
| Cube | 359425431 |
| Square root | 26.664583 (= 3√79) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 7.11 × |
711 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and eleven |
| Roman numerals | DCCXI |
| Binary (base 2) | 1011000111 |
| Octal (base 8) | 1307 |
| Hexadecimal (base 16) | 2C7 |
| Base 3 | 222100 |
| As time | 711 seconds = 11 min 51 s |
Is 711 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 (711 ÷ 3 = 237) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (711 ÷ 9 = 79) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 711 a prime number?
No. 711 = × 79, so it is divisible by 3.
What are the factors of 711?
1, 3, 9, 79, 237, 711.
What is 711 in binary?
1011000111 (hexadecimal 2C7, octal 1307).
What is the square root of 711?
About 26.6646, exactly 3√79.
What is 711 in Roman numerals?
DCCXI.
Is 711 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 711?
711 is a Harshad number: divisible by its digit sum 9.