The number 9772
9772 is a composite number with 12 divisors. Its prime factorisation is × 7 × 349. Divisors (12): 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9772 is composite. Its prime factorisation is
- 3
The divisors add up to 19600; without 9772 itself that is 9828, so 9772 is abundant (9828 is more than 9772). Euler's totient φ(9772) = 4176 numbers up to 9772 share no factor with it.
- 4
The digits of 9772 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9772 = 2^{2} \times 7 \times 349 \]9772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19600 |
| Euler totient φ(n) | 4176 |
| Square | 95491984 |
| Cube | 933147667648 |
| Square root | 98.853427 (= 2√2443) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.772 × |
9772 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and seventy-two |
| Binary (base 2) | 10011000101100 |
| Octal (base 8) | 23054 |
| Hexadecimal (base 16) | 262C |
| Base 3 | 111101221 |
| As time | 9772 seconds = 2 h 42 min 52 s |
Is 9772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9772 ÷ 2 = 4886) | 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 | Yes (9772 ÷ 4 = 2443) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (9772 ÷ 7 = 1396) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9772 a prime number?
No. 9772 = × 7 × 349, so it is divisible by 2.
What are the factors of 9772?
1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772.
What is 9772 in binary?
10011000101100 (hexadecimal 262C, octal 23054).
What is the square root of 9772?
About 98.8534, exactly 2√2443.
Is 9772 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9772?
It is a composite number with 12 divisors.