The number 9468
9468 is a composite number with 18 divisors. Its prime factorisation is × × 263. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156 … 9468.
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How to work it out
- 1
9468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9468 is composite. Its prime factorisation is
- 3
The divisors add up to 24024; without 9468 itself that is 14556, so 9468 is abundant (14556 is more than 9468). Euler's totient φ(9468) = 3144 numbers up to 9468 share no factor with it.
- 4
The digits of 9468 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9468 = 2^{2} \times 3^{2} \times 263 \]9468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 24024 |
| Euler totient φ(n) | 3144 |
| Square | 89643024 |
| Cube | 848740151232 |
| Square root | 97.303648 (= 6√263) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.468 × |
9468 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and sixty-eight |
| Binary (base 2) | 10010011111100 |
| Octal (base 8) | 22374 |
| Hexadecimal (base 16) | 24FC |
| Base 3 | 110222200 |
| As time | 9468 seconds = 2 h 37 min 48 s |
Is 9468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9468 ÷ 2 = 4734) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9468 ÷ 3 = 3156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9468 ÷ 4 = 2367) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9468 ÷ 6 = 1578) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9468 ÷ 9 = 1052) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9468 ÷ 12 = 789) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9468 a prime number?
No. 9468 = × × 263, so it is divisible by 2.
What are the factors of 9468?
1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468.
What is 9468 in binary?
10010011111100 (hexadecimal 24FC, octal 22374).
What is the square root of 9468?
About 97.3036, exactly 6√263.
Is 9468 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9468?
It is a composite number with 18 divisors.