The number 48084
48084 is a palindrome: it reads 48084 backwards too. Its prime factorisation is × 3 × 4007. Divisors (12): 1, 2, 3, 4, 6, 12, 4007, 8014, 12021, 16028, 24042, 48084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48084: a palindrome: it reads 48084 backwards too.
- 2
48084 is composite. Its prime factorisation is
- 3
The divisors add up to 112224; without 48084 itself that is 64140, so 48084 is abundant (64140 is more than 48084). Euler's totient φ(48084) = 16024 numbers up to 48084 share no factor with it.
- 4
The digits of 48084 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48084 = 2^{2} \times 3 \times 4007 \]48084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112224 |
| Euler totient φ(n) | 16024 |
| Square | 2312071056 |
| Cube | 111173624656704 |
| Square root | 219.280642 (= 2√12021) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8084 × |
48084 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and eighty-four |
| Binary (base 2) | 1011101111010100 |
| Octal (base 8) | 135724 |
| Hexadecimal (base 16) | BBD4 |
| Base 3 | 2102221220 |
| As time | 48084 seconds = 13 h 21 min 24 s |
Is 48084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48084 ÷ 2 = 24042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48084 ÷ 3 = 16028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48084 ÷ 4 = 12021) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48084 ÷ 6 = 8014) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48084 ÷ 12 = 4007) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48084 a prime number?
No. 48084 = × 3 × 4007, so it is divisible by 2.
What are the factors of 48084?
1, 2, 3, 4, 6, 12, 4007, 8014, 12021, 16028, 24042, 48084.
What is 48084 in binary?
1011101111010100 (hexadecimal BBD4, octal 135724).
What is the square root of 48084?
About 219.2806, exactly 2√12021.
Is 48084 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48084?
48084 is a palindrome: it reads 48084 backwards too.