The number 3048
3048 is a composite number with 16 divisors. Its prime factorisation is × 3 × 127. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3048 is composite. Its prime factorisation is
- 3
The divisors add up to 7680; without 3048 itself that is 4632, so 3048 is abundant (4632 is more than 3048). Euler's totient φ(3048) = 1008 numbers up to 3048 share no factor with it.
- 4
The digits of 3048 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3048 = 2^{3} \times 3 \times 127 \]3048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7680 |
| Euler totient φ(n) | 1008 |
| Square | 9290304 |
| Cube | 28316846592 |
| Square root | 55.208695 (= 2√762) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 110 |
| Scientific notation | 3.048 × |
3048 in other forms
| Form | Value |
|---|---|
| In words | three thousand and forty-eight |
| Roman numerals | MMMXLVIII |
| Binary (base 2) | 101111101000 |
| Octal (base 8) | 5750 |
| Hexadecimal (base 16) | BE8 |
| Base 3 | 11011220 |
| As time | 3048 seconds = 50 min 48 s |
Is 3048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3048 ÷ 2 = 1524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3048 ÷ 3 = 1016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3048 ÷ 4 = 762) | 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 (3048 ÷ 6 = 508) | 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 | Yes (3048 ÷ 8 = 381) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3048 ÷ 12 = 254) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3048 a prime number?
No. 3048 = × 3 × 127, so it is divisible by 2.
What are the factors of 3048?
1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048.
What is 3048 in binary?
101111101000 (hexadecimal BE8, octal 5750).
What is the square root of 3048?
About 55.2087, exactly 2√762.
What is 3048 in Roman numerals?
MMMXLVIII.
Is 3048 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3048?
It is a composite number with 16 divisors.