The number 48684
48684 is a palindrome: it reads 48684 backwards too. Its prime factorisation is × 3 × 4057. Divisors (12): 1, 2, 3, 4, 6, 12, 4057, 8114, 12171, 16228, 24342, 48684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48684: a palindrome: it reads 48684 backwards too.
- 2
48684 is composite. Its prime factorisation is
- 3
The divisors add up to 113624; without 48684 itself that is 64940, so 48684 is abundant (64940 is more than 48684). Euler's totient φ(48684) = 16224 numbers up to 48684 share no factor with it.
- 4
The digits of 48684 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48684 = 2^{2} \times 3 \times 4057 \]48684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 113624 |
| Euler totient φ(n) | 16224 |
| Square | 2370131856 |
| Cube | 115387499277504 |
| Square root | 220.644510 (= 2√12171) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8684 × |
48684 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and eighty-four |
| Binary (base 2) | 1011111000101100 |
| Octal (base 8) | 137054 |
| Hexadecimal (base 16) | BE2C |
| Base 3 | 2110210010 |
| As time | 48684 seconds = 13 h 31 min 24 s |
Is 48684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48684 ÷ 2 = 24342) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48684 ÷ 3 = 16228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48684 ÷ 4 = 12171) | 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 (48684 ÷ 6 = 8114) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48684 ÷ 12 = 4057) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48684 a prime number?
No. 48684 = × 3 × 4057, so it is divisible by 2.
What are the factors of 48684?
1, 2, 3, 4, 6, 12, 4057, 8114, 12171, 16228, 24342, 48684.
What is 48684 in binary?
1011111000101100 (hexadecimal BE2C, octal 137054).
What is the square root of 48684?
About 220.6445, exactly 2√12171.
Is 48684 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48684?
48684 is a palindrome: it reads 48684 backwards too.