The number 704
704 is a composite number with 14 divisors. Its prime factorisation is × 11. Divisors (14): 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 704: a Harshad number: divisible by its digit sum 11.
- 2
704 is composite. Its prime factorisation is
- 3
The divisors add up to 1524; without 704 itself that is 820, so 704 is abundant (820 is more than 704). Euler's totient φ(704) = 320 numbers up to 704 share no factor with it.
- 4
The digits of 704 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 704 = 2^{6} \times 11 \]704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 1524 |
| Euler totient φ(n) | 320 |
| Square | 495616 |
| Cube | 348913664 |
| Square root | 26.532998 (= 8√11) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 20 |
| Scientific notation | 7.04 × |
704 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and four |
| Roman numerals | DCCIV |
| Binary (base 2) | 1011000000 |
| Octal (base 8) | 1300 |
| Hexadecimal (base 16) | 2C0 |
| Base 3 | 222002 |
| As time | 704 seconds = 11 min 44 s |
Is 704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (704 ÷ 2 = 352) | 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 | Yes (704 ÷ 4 = 176) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (704 ÷ 8 = 88) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (704 ÷ 11 = 64) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 704 a prime number?
No. 704 = × 11, so it is divisible by 2.
What are the factors of 704?
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704.
What is 704 in binary?
1011000000 (hexadecimal 2C0, octal 1300).
What is the square root of 704?
About 26.5330, exactly 8√11.
What is 704 in Roman numerals?
DCCIV.
Is 704 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 704?
704 is a Harshad number: divisible by its digit sum 11.