The number 6048
6048 is a composite number with 48 divisors. Its prime factorisation is × × 7. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28 … 6048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6048: a Harshad number: divisible by its digit sum 18.
- 2
6048 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 6048 itself that is 14112, so 6048 is abundant (14112 is more than 6048). Euler's totient φ(6048) = 1728 numbers up to 6048 share no factor with it.
- 4
The digits of 6048 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6048 = 2^{5} \times 3^{3} \times 7 \]6048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 1728 |
| Square | 36578304 |
| Cube | 221225582592 |
| Square root | 77.768888 (= 12√42) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 6.048 × |
6048 in other forms
| Form | Value |
|---|---|
| In words | six thousand and forty-eight |
| Binary (base 2) | 1011110100000 |
| Octal (base 8) | 13640 |
| Hexadecimal (base 16) | 17A0 |
| Base 3 | 22022000 |
| As time | 6048 seconds = 1 h 40 min 48 s |
Is 6048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6048 ÷ 2 = 3024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6048 ÷ 3 = 2016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6048 ÷ 4 = 1512) | 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 (6048 ÷ 6 = 1008) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6048 ÷ 7 = 864) | 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 (6048 ÷ 8 = 756) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6048 ÷ 9 = 672) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6048 ÷ 12 = 504) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6048 a prime number?
No. 6048 = × × 7, so it is divisible by 2.
What are the factors of 6048?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048.
What is 6048 in binary?
1011110100000 (hexadecimal 17A0, octal 13640).
What is the square root of 6048?
About 77.7689, exactly 12√42.
Is 6048 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6048?
6048 is a Harshad number: divisible by its digit sum 18.