The number 4824
4824 is a composite number with 24 divisors. Its prime factorisation is × × 67. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268 … 4824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4824: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
4824 is composite. Its prime factorisation is
- 3
The divisors add up to 13260; without 4824 itself that is 8436, so 4824 is abundant (8436 is more than 4824). Euler's totient φ(4824) = 1584 numbers up to 4824 share no factor with it.
- 4
The digits of 4824 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4824 = 2^{3} \times 3^{2} \times 67 \]4824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13260 |
| Euler totient φ(n) | 1584 |
| Square | 23270976 |
| Cube | 112259188224 |
| Square root | 69.455021 (= 6√134) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 4.824 × |
4824 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and twenty-four |
| Binary (base 2) | 1001011011000 |
| Octal (base 8) | 11330 |
| Hexadecimal (base 16) | 12D8 |
| Base 3 | 20121200 |
| As time | 4824 seconds = 1 h 20 min 24 s |
Is 4824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4824 ÷ 2 = 2412) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4824 ÷ 3 = 1608) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4824 ÷ 4 = 1206) | 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 (4824 ÷ 6 = 804) | 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 | Yes (4824 ÷ 8 = 603) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4824 ÷ 9 = 536) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4824 ÷ 12 = 402) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4824 a prime number?
No. 4824 = × × 67, so it is divisible by 2.
What are the factors of 4824?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824.
What is 4824 in binary?
1001011011000 (hexadecimal 12D8, octal 11330).
What is the square root of 4824?
About 69.4550, exactly 6√134.
Is 4824 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4824?
4824 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.