The number 48836
48836 is a composite number with 12 divisors. Its prime factorisation is × 29 × 421. Divisors (12): 1, 2, 4, 29, 58, 116, 421, 842, 1684, 12209, 24418, 48836.
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How to work it out
- 1
What is special about 48836: a Harshad number: divisible by its digit sum 29.
- 2
48836 is composite. Its prime factorisation is
- 3
The divisors add up to 88620; without 48836 itself that is 39784, so 48836 is deficient (39784 is less than 48836). Euler's totient φ(48836) = 23520 numbers up to 48836 share no factor with it.
- 4
The digits of 48836 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48836 = 2^{2} \times 29 \times 421 \]48836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88620 |
| Euler totient φ(n) | 23520 |
| Square | 2384954896 |
| Cube | 116471657301056 |
| Square root | 220.988687 (= 2√12209) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8836 × |
48836 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and thirty-six |
| Binary (base 2) | 1011111011000100 |
| Octal (base 8) | 137304 |
| Hexadecimal (base 16) | BEC4 |
| Base 3 | 2110222202 |
| As time | 48836 seconds = 13 h 33 min 56 s |
Is 48836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48836 ÷ 2 = 24418) | 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 (48836 ÷ 4 = 12209) | 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 | No (remainder 2) | 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 | No (remainder 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 48836 a prime number?
No. 48836 = × 29 × 421, so it is divisible by 2.
What are the factors of 48836?
1, 2, 4, 29, 58, 116, 421, 842, 1684, 12209, 24418, 48836.
What is 48836 in binary?
1011111011000100 (hexadecimal BEC4, octal 137304).
What is the square root of 48836?
About 220.9887, exactly 2√12209.
Is 48836 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48836?
48836 is a Harshad number: divisible by its digit sum 29.