The number 48028
48028 is a composite number with 6 divisors. Its prime factorisation is × 12007. Divisors (6): 1, 2, 4, 12007, 24014, 48028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48028 is composite. Its prime factorisation is
- 3
The divisors add up to 84056; without 48028 itself that is 36028, so 48028 is deficient (36028 is less than 48028). Euler's totient φ(48028) = 24012 numbers up to 48028 share no factor with it.
- 4
The digits of 48028 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48028 = 2^{2} \times 12007 \]48028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 84056 |
| Euler totient φ(n) | 24012 |
| Square | 2306688784 |
| Cube | 110785648917952 |
| Square root | 219.152915 (= 2√12007) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8028 × |
48028 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and twenty-eight |
| Binary (base 2) | 1011101110011100 |
| Octal (base 8) | 135634 |
| Hexadecimal (base 16) | BB9C |
| Base 3 | 2102212211 |
| As time | 48028 seconds = 13 h 20 min 28 s |
Is 48028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48028 ÷ 2 = 24014) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48028 ÷ 4 = 12007) | 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 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48028 a prime number?
No. 48028 = × 12007, so it is divisible by 2.
What are the factors of 48028?
1, 2, 4, 12007, 24014, 48028.
What is 48028 in binary?
1011101110011100 (hexadecimal BB9C, octal 135634).
What is the square root of 48028?
About 219.1529, exactly 2√12007.
Is 48028 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48028?
It is a composite number with 6 divisors.