The number 4848
4848 is a composite number with 20 divisors. Its prime factorisation is × 3 × 101. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808 … 4848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4848: a Harshad number: divisible by its digit sum 24.
- 2
4848 is composite. Its prime factorisation is
- 3
The divisors add up to 12648; without 4848 itself that is 7800, so 4848 is abundant (7800 is more than 4848). Euler's totient φ(4848) = 1600 numbers up to 4848 share no factor with it.
- 4
The digits of 4848 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4848 = 2^{4} \times 3 \times 101 \]4848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 12648 |
| Euler totient φ(n) | 1600 |
| Square | 23503104 |
| Cube | 113943048192 |
| Square root | 69.627581 (= 4√303) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.848 × |
4848 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and forty-eight |
| Binary (base 2) | 1001011110000 |
| Octal (base 8) | 11360 |
| Hexadecimal (base 16) | 12F0 |
| Base 3 | 20122120 |
| As time | 4848 seconds = 1 h 20 min 48 s |
Is 4848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4848 ÷ 2 = 2424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4848 ÷ 3 = 1616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4848 ÷ 4 = 1212) | 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 (4848 ÷ 6 = 808) | 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 | Yes (4848 ÷ 8 = 606) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (4848 ÷ 12 = 404) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4848 a prime number?
No. 4848 = × 3 × 101, so it is divisible by 2.
What are the factors of 4848?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 4848.
What is 4848 in binary?
1001011110000 (hexadecimal 12F0, octal 11360).
What is the square root of 4848?
About 69.6276, exactly 4√303.
Is 4848 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 4848?
4848 is a Harshad number: divisible by its digit sum 24.