The number 706
706 is a composite number with 4 divisors. Its prime factorisation is 2 × 353. Divisors (4): 1, 2, 353, 706.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 706: a semiprime: 2 × 353, the product of two primes.
- 2
706 is composite. Its prime factorisation is
- 3
The divisors add up to 1062; without 706 itself that is 356, so 706 is deficient (356 is less than 706). Euler's totient φ(706) = 352 numbers up to 706 share no factor with it.
- 4
The digits of 706 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 706 = 2 \times 353 \]
706 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1062 |
| Euler totient φ(n) | 352 |
| Square | 498436 |
| Cube | 351895816 |
| Square root | 26.570661 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 126 |
| Scientific notation | 7.06 × |
706 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and six |
| Roman numerals | DCCVI |
| Binary (base 2) | 1011000010 |
| Octal (base 8) | 1302 |
| Hexadecimal (base 16) | 2C2 |
| Base 3 | 222011 |
| As time | 706 seconds = 11 min 46 s |
Is 706 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (706 ÷ 2 = 353) | 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 2) | 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 4) | 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 2) | 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 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 706 a prime number?
No. 706 = 2 × 353, so it is divisible by 2.
What are the factors of 706?
1, 2, 353, 706.
What is 706 in binary?
1011000010 (hexadecimal 2C2, octal 1302).
What is the square root of 706?
About 26.5707.
What is 706 in Roman numerals?
DCCVI.
Is 706 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 706?
706 is a semiprime: 2 × 353, the product of two primes.