The number 48336
48336 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 53. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 53, 57, 76, 106 … 48336.
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How to work it out
- 1
What is special about 48336: a Harshad number: divisible by its digit sum 24.
- 2
48336 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 48336 itself that is 85584, so 48336 is abundant (85584 is more than 48336). Euler's totient φ(48336) = 14976 numbers up to 48336 share no factor with it.
- 4
The digits of 48336 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48336 = 2^{4} \times 3 \times 19 \times 53 \]48336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 14976 |
| Square | 2336368896 |
| Cube | 112930726957056 |
| Square root | 219.854497 (= 4√3021) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8336 × |
48336 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and thirty-six |
| Binary (base 2) | 1011110011010000 |
| Octal (base 8) | 136320 |
| Hexadecimal (base 16) | BCD0 |
| Base 3 | 2110022020 |
| As time | 48336 seconds = 13 h 25 min 36 s |
Is 48336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48336 ÷ 2 = 24168) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48336 ÷ 3 = 16112) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48336 ÷ 4 = 12084) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48336 ÷ 6 = 8056) | 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 | Yes (48336 ÷ 8 = 6042) | 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 6) | 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 | Yes (48336 ÷ 12 = 4028) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48336 a prime number?
No. 48336 = × 3 × 19 × 53, so it is divisible by 2.
What are the factors of 48336?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 53, 57, 76, 106, 114, 152, 159, 212, 228, 304, 318, 424, 456, 636, 848, 912, 1007, 1272, 2014, 2544, 3021, 4028, 6042, 8056, 12084, 16112, 24168, 48336.
What is 48336 in binary?
1011110011010000 (hexadecimal BCD0, octal 136320).
What is the square root of 48336?
About 219.8545, exactly 4√3021.
Is 48336 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48336?
48336 is a Harshad number: divisible by its digit sum 24.