The number 774
774 is a composite number with 12 divisors. Its prime factorisation is 2 × × 43. Divisors (12): 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 774: a Harshad number: divisible by its digit sum 18.
- 2
774 is composite. Its prime factorisation is
- 3
The divisors add up to 1716; without 774 itself that is 942, so 774 is abundant (942 is more than 774). Euler's totient φ(774) = 252 numbers up to 774 share no factor with it.
- 4
The digits of 774 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 774 = 2 \times 3^{2} \times 43 \]774 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1716 |
| Euler totient φ(n) | 252 |
| Square | 599076 |
| Cube | 463684824 |
| Square root | 27.820855 (= 3√86) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 7.74 × |
774 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and seventy-four |
| Roman numerals | DCCLXXIV |
| Binary (base 2) | 1100000110 |
| Octal (base 8) | 1406 |
| Hexadecimal (base 16) | 306 |
| Base 3 | 1001200 |
| As time | 774 seconds = 12 min 54 s |
Is 774 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (774 ÷ 2 = 387) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (774 ÷ 3 = 258) | 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 (774 ÷ 6 = 129) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (774 ÷ 9 = 86) | 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 4) | 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 774 a prime number?
No. 774 = 2 × × 43, so it is divisible by 2.
What are the factors of 774?
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774.
What is 774 in binary?
1100000110 (hexadecimal 306, octal 1406).
What is the square root of 774?
About 27.8209, exactly 3√86.
What is 774 in Roman numerals?
DCCLXXIV.
Is 774 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 774?
774 is a Harshad number: divisible by its digit sum 18.