The number 48012
48012 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4001. Divisors (12): 1, 2, 3, 4, 6, 12, 4001, 8002, 12003, 16004, 24006, 48012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48012 is composite. Its prime factorisation is
- 3
The divisors add up to 112056; without 48012 itself that is 64044, so 48012 is abundant (64044 is more than 48012). Euler's totient φ(48012) = 16000 numbers up to 48012 share no factor with it.
- 4
The digits of 48012 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48012 = 2^{2} \times 3 \times 4001 \]48012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112056 |
| Euler totient φ(n) | 16000 |
| Square | 2305152144 |
| Cube | 110674964737728 |
| Square root | 219.116407 (= 2√12003) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8012 × |
48012 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and twelve |
| Binary (base 2) | 1011101110001100 |
| Octal (base 8) | 135614 |
| Hexadecimal (base 16) | BB8C |
| Base 3 | 2102212020 |
| As time | 48012 seconds = 13 h 20 min 12 s |
Is 48012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48012 ÷ 2 = 24006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48012 ÷ 3 = 16004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48012 ÷ 4 = 12003) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48012 ÷ 6 = 8002) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 (48012 ÷ 12 = 4001) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48012 a prime number?
No. 48012 = × 3 × 4001, so it is divisible by 2.
What are the factors of 48012?
1, 2, 3, 4, 6, 12, 4001, 8002, 12003, 16004, 24006, 48012.
What is 48012 in binary?
1011101110001100 (hexadecimal BB8C, octal 135614).
What is the square root of 48012?
About 219.1164, exactly 2√12003.
Is 48012 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 48012?
It is a composite number with 12 divisors.