The number 9774
9774 is a composite number with 16 divisors. Its prime factorisation is 2 × × 181. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9774: a Harshad number: divisible by its digit sum 27.
- 2
9774 is composite. Its prime factorisation is
- 3
The divisors add up to 21840; without 9774 itself that is 12066, so 9774 is abundant (12066 is more than 9774). Euler's totient φ(9774) = 3240 numbers up to 9774 share no factor with it.
- 4
The digits of 9774 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9774 = 2 \times 3^{3} \times 181 \]9774 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21840 |
| Euler totient φ(n) | 3240 |
| Square | 95531076 |
| Cube | 933720736824 |
| Square root | 98.863542 (= 3√1086) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.774 × |
9774 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and seventy-four |
| Binary (base 2) | 10011000101110 |
| Octal (base 8) | 23056 |
| Hexadecimal (base 16) | 262E |
| Base 3 | 111102000 |
| As time | 9774 seconds = 2 h 42 min 54 s |
Is 9774 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9774 ÷ 2 = 4887) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9774 ÷ 3 = 3258) | 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 (9774 ÷ 6 = 1629) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9774 ÷ 9 = 1086) | 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 6) | 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 9774 a prime number?
No. 9774 = 2 × × 181, so it is divisible by 2.
What are the factors of 9774?
1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774.
What is 9774 in binary?
10011000101110 (hexadecimal 262E, octal 23056).
What is the square root of 9774?
About 98.8635, exactly 3√1086.
Is 9774 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9774?
9774 is a Harshad number: divisible by its digit sum 27.