The number 714
714 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 17. Divisors (16): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
714 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
714 is composite. Its prime factorisation is
- 3
The divisors add up to 1728; without 714 itself that is 1014, so 714 is abundant (1014 is more than 714). Euler's totient φ(714) = 192 numbers up to 714 share no factor with it.
- 4
The digits of 714 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 714 = 2 \times 3 \times 7 \times 17 \]
714 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1728 |
| Euler totient φ(n) | 192 |
| Square | 509796 |
| Cube | 363994344 |
| Square root | 26.720778 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 33 |
| Scientific notation | 7.14 × |
714 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and fourteen |
| Roman numerals | DCCXIV |
| Binary (base 2) | 1011001010 |
| Octal (base 8) | 1312 |
| Hexadecimal (base 16) | 2CA |
| Base 3 | 222110 |
| As time | 714 seconds = 11 min 54 s |
Is 714 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (714 ÷ 2 = 357) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (714 ÷ 3 = 238) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (714 ÷ 6 = 119) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (714 ÷ 7 = 102) | 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 3) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 714 a prime number?
No. 714 = 2 × 3 × 7 × 17, so it is divisible by 2.
What are the factors of 714?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714.
What is 714 in binary?
1011001010 (hexadecimal 2CA, octal 1312).
What is the square root of 714?
About 26.7208.
What is 714 in Roman numerals?
DCCXIV.
Is 714 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 714?
It is a composite number with 16 divisors.