The number 36848
36848 is a composite number with 30 divisors. Its prime factorisation is × × 47. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 28, 47, 49, 56, 94, 98, 112, 188, 196 … 36848.
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How to work it out
- 1
36848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36848 is composite. Its prime factorisation is
- 3
The divisors add up to 84816; without 36848 itself that is 47968, so 36848 is abundant (47968 is more than 36848). Euler's totient φ(36848) = 15456 numbers up to 36848 share no factor with it.
- 4
The digits of 36848 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36848 = 2^{4} \times 7^{2} \times 47 \]36848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 84816 |
| Euler totient φ(n) | 15456 |
| Square | 1357775104 |
| Cube | 50031297032192 |
| Square root | 191.958329 (= 28√47) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6848 × |
36848 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and forty-eight |
| Binary (base 2) | 1000111111110000 |
| Octal (base 8) | 107760 |
| Hexadecimal (base 16) | 8FF0 |
| Base 3 | 1212112202 |
| As time | 36848 seconds = 10 h 14 min 8 s |
Is 36848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36848 ÷ 2 = 18424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36848 ÷ 4 = 9212) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36848 ÷ 7 = 5264) | 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 (36848 ÷ 8 = 4606) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36848 a prime number?
No. 36848 = × × 47, so it is divisible by 2.
What are the factors of 36848?
1, 2, 4, 7, 8, 14, 16, 28, 47, 49, 56, 94, 98, 112, 188, 196, 329, 376, 392, 658, 752, 784, 1316, 2303, 2632, 4606, 5264, 9212, 18424, 36848.
What is 36848 in binary?
1000111111110000 (hexadecimal 8FF0, octal 107760).
What is the square root of 36848?
About 191.9583, exactly 28√47.
Is 36848 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 36848?
It is a composite number with 30 divisors.