The number 46848
46848 is a composite number with 36 divisors. Its prime factorisation is × 3 × 61. Divisors (36): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128 … 46848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46848 is composite. Its prime factorisation is
- 3
The divisors add up to 126728; without 46848 itself that is 79880, so 46848 is abundant (79880 is more than 46848). Euler's totient φ(46848) = 15360 numbers up to 46848 share no factor with it.
- 4
The digits of 46848 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46848 = 2^{8} \times 3 \times 61 \]46848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 126728 |
| Euler totient φ(n) | 15360 |
| Square | 2194735104 |
| Cube | 102818950152192 |
| Square root | 216.443988 (= 16√183) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.6848 × |
46848 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and forty-eight |
| Binary (base 2) | 1011011100000000 |
| Octal (base 8) | 133400 |
| Hexadecimal (base 16) | B700 |
| Base 3 | 2101021010 |
| As time | 46848 seconds = 13 h 0 min 48 s |
Is 46848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46848 ÷ 2 = 23424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46848 ÷ 3 = 15616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46848 ÷ 4 = 11712) | 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 (46848 ÷ 6 = 7808) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (46848 ÷ 8 = 5856) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46848 ÷ 12 = 3904) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46848 a prime number?
No. 46848 = × 3 × 61, so it is divisible by 2.
What are the factors of 46848?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 256, 366, 384, 488, 732, 768, 976, 1464, 1952, 2928, 3904, 5856, 7808, 11712, 15616, 23424, 46848.
What is 46848 in binary?
1011011100000000 (hexadecimal B700, octal 133400).
What is the square root of 46848?
About 216.4440, exactly 16√183.
Is 46848 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46848?
It is a composite number with 36 divisors.