The number 9480
9480 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 79. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79 … 9480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9480 is composite. Its prime factorisation is
- 3
The divisors add up to 28800; without 9480 itself that is 19320, so 9480 is abundant (19320 is more than 9480). Euler's totient φ(9480) = 2496 numbers up to 9480 share no factor with it.
- 4
The digits of 9480 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9480 = 2^{3} \times 3 \times 5 \times 79 \]9480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 28800 |
| Euler totient φ(n) | 2496 |
| Square | 89870400 |
| Cube | 851971392000 |
| Square root | 97.365292 (= 2√2370) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.48 × |
9480 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and eighty |
| Binary (base 2) | 10010100001000 |
| Octal (base 8) | 22410 |
| Hexadecimal (base 16) | 2508 |
| Base 3 | 111000010 |
| As time | 9480 seconds = 2 h 38 min 0 s |
Is 9480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9480 ÷ 2 = 4740) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9480 ÷ 3 = 3160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9480 ÷ 4 = 2370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9480 ÷ 5 = 1896) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9480 ÷ 6 = 1580) | 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 | Yes (9480 ÷ 8 = 1185) | 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 | Yes (9480 ÷ 10 = 948) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9480 ÷ 12 = 790) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9480 a prime number?
No. 9480 = × 3 × 5 × 79, so it is divisible by 2.
What are the factors of 9480?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480.
What is 9480 in binary?
10010100001000 (hexadecimal 2508, octal 22410).
What is the square root of 9480?
About 97.3653, exactly 2√2370.
Is 9480 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9480?
It is a composite number with 32 divisors.