The number 716
716 is a composite number with 6 divisors. Its prime factorisation is × 179. Divisors (6): 1, 2, 4, 179, 358, 716.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 716: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
716 is composite. Its prime factorisation is
- 3
The divisors add up to 1260; without 716 itself that is 544, so 716 is deficient (544 is less than 716). Euler's totient φ(716) = 356 numbers up to 716 share no factor with it.
- 4
The digits of 716 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 716 = 2^{2} \times 179 \]716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1260 |
| Euler totient φ(n) | 356 |
| Square | 512656 |
| Cube | 367061696 |
| Square root | 26.758176 (= 2√179) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 33 |
| Scientific notation | 7.16 × |
716 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and sixteen |
| Roman numerals | DCCXVI |
| Binary (base 2) | 1011001100 |
| Octal (base 8) | 1314 |
| Hexadecimal (base 16) | 2CC |
| Base 3 | 222112 |
| As time | 716 seconds = 11 min 56 s |
Is 716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (716 ÷ 2 = 358) | 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 (716 ÷ 4 = 179) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 716 a prime number?
No. 716 = × 179, so it is divisible by 2.
What are the factors of 716?
1, 2, 4, 179, 358, 716.
What is 716 in binary?
1011001100 (hexadecimal 2CC, octal 1314).
What is the square root of 716?
About 26.7582, exactly 2√179.
What is 716 in Roman numerals?
DCCXVI.
Is 716 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 716?
716 is a happy number: repeatedly adding the squares of its digits reaches 1.