The number 4800
4800 is a composite number with 42 divisors. Its prime factorisation is × 3 × . Divisors (42): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32 … 4800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4800: a Harshad number: divisible by its digit sum 12.
- 2
4800 is composite. Its prime factorisation is
- 3
The divisors add up to 15748; without 4800 itself that is 10948, so 4800 is abundant (10948 is more than 4800). Euler's totient φ(4800) = 1280 numbers up to 4800 share no factor with it.
- 4
The digits of 4800 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4800 = 2^{6} \times 3 \times 5^{2} \]4800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 15748 |
| Euler totient φ(n) | 1280 |
| Square | 23040000 |
| Cube | 110592000000 |
| Square root | 69.282032 (= 40√3) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 20 |
| Scientific notation | 4.8 × |
4800 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred |
| Binary (base 2) | 1001011000000 |
| Octal (base 8) | 11300 |
| Hexadecimal (base 16) | 12C0 |
| Base 3 | 20120210 |
| As time | 4800 seconds = 1 h 20 min 0 s |
Is 4800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4800 ÷ 2 = 2400) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4800 ÷ 3 = 1600) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4800 ÷ 4 = 1200) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4800 ÷ 5 = 960) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4800 ÷ 6 = 800) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (4800 ÷ 8 = 600) | 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 | Yes (4800 ÷ 10 = 480) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4800 ÷ 12 = 400) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4800 a prime number?
No. 4800 = × 3 × , so it is divisible by 2.
What are the factors of 4800?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.
What is 4800 in binary?
1001011000000 (hexadecimal 12C0, octal 11300).
What is the square root of 4800?
About 69.2820, exactly 40√3.
Is 4800 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4800?
4800 is a Harshad number: divisible by its digit sum 12.