The number 9780
9780 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 163. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652 … 9780.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9780 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9780 is composite. Its prime factorisation is
- 3
The divisors add up to 27552; without 9780 itself that is 17772, so 9780 is abundant (17772 is more than 9780). Euler's totient φ(9780) = 2592 numbers up to 9780 share no factor with it.
- 4
The digits of 9780 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9780 = 2^{2} \times 3 \times 5 \times 163 \]9780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 27552 |
| Euler totient φ(n) | 2592 |
| Square | 95648400 |
| Cube | 935441352000 |
| Square root | 98.893883 (= 2√2445) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.78 × |
9780 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and eighty |
| Binary (base 2) | 10011000110100 |
| Octal (base 8) | 23064 |
| Hexadecimal (base 16) | 2634 |
| Base 3 | 111102020 |
| As time | 9780 seconds = 2 h 43 min 0 s |
Is 9780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9780 ÷ 2 = 4890) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9780 ÷ 3 = 3260) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9780 ÷ 4 = 2445) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9780 ÷ 5 = 1956) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9780 ÷ 6 = 1630) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9780 ÷ 10 = 978) | 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 | Yes (9780 ÷ 12 = 815) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9780 a prime number?
No. 9780 = × 3 × 5 × 163, so it is divisible by 2.
What are the factors of 9780?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780.
What is 9780 in binary?
10011000110100 (hexadecimal 2634, octal 23064).
What is the square root of 9780?
About 98.8939, exactly 2√2445.
Is 9780 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9780?
It is a composite number with 24 divisors.