The number 9624
9624 is a composite number with 16 divisors. Its prime factorisation is × 3 × 401. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9624 is composite. Its prime factorisation is
- 3
The divisors add up to 24120; without 9624 itself that is 14496, so 9624 is abundant (14496 is more than 9624). Euler's totient φ(9624) = 3200 numbers up to 9624 share no factor with it.
- 4
The digits of 9624 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9624 = 2^{3} \times 3 \times 401 \]9624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24120 |
| Euler totient φ(n) | 3200 |
| Square | 92621376 |
| Cube | 891388122624 |
| Square root | 98.101988 (= 2√2406) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.624 × |
9624 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and twenty-four |
| Binary (base 2) | 10010110011000 |
| Octal (base 8) | 22630 |
| Hexadecimal (base 16) | 2598 |
| Base 3 | 111012110 |
| As time | 9624 seconds = 2 h 40 min 24 s |
Is 9624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9624 ÷ 2 = 4812) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9624 ÷ 3 = 3208) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9624 ÷ 4 = 2406) | 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 (9624 ÷ 6 = 1604) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (9624 ÷ 8 = 1203) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9624 ÷ 12 = 802) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9624 a prime number?
No. 9624 = × 3 × 401, so it is divisible by 2.
What are the factors of 9624?
1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624.
What is 9624 in binary?
10010110011000 (hexadecimal 2598, octal 22630).
What is the square root of 9624?
About 98.1020, exactly 2√2406.
Is 9624 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9624?
It is a composite number with 16 divisors.