The number 48324
48324 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4027. Divisors (12): 1, 2, 3, 4, 6, 12, 4027, 8054, 12081, 16108, 24162, 48324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48324: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48324 is composite. Its prime factorisation is
- 3
The divisors add up to 112784; without 48324 itself that is 64460, so 48324 is abundant (64460 is more than 48324). Euler's totient φ(48324) = 16104 numbers up to 48324 share no factor with it.
- 4
The digits of 48324 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48324 = 2^{2} \times 3 \times 4027 \]48324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112784 |
| Euler totient φ(n) | 16104 |
| Square | 2335208976 |
| Cube | 112846638556224 |
| Square root | 219.827205 (= 2√12081) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8324 × |
48324 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and twenty-four |
| Binary (base 2) | 1011110011000100 |
| Octal (base 8) | 136304 |
| Hexadecimal (base 16) | BCC4 |
| Base 3 | 2110021210 |
| As time | 48324 seconds = 13 h 25 min 24 s |
Is 48324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48324 ÷ 2 = 24162) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48324 ÷ 3 = 16108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48324 ÷ 4 = 12081) | 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 (48324 ÷ 6 = 8054) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48324 ÷ 12 = 4027) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48324 a prime number?
No. 48324 = × 3 × 4027, so it is divisible by 2.
What are the factors of 48324?
1, 2, 3, 4, 6, 12, 4027, 8054, 12081, 16108, 24162, 48324.
What is 48324 in binary?
1011110011000100 (hexadecimal BCC4, octal 136304).
What is the square root of 48324?
About 219.8272, exactly 2√12081.
Is 48324 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48324?
48324 is a happy number: repeatedly adding the squares of its digits reaches 1.