The number 36828
36828 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 31. Divisors (48): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 31, 33, 36, 44, 54 … 36828.
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How to work it out
- 1
What is special about 36828: a Harshad number: divisible by its digit sum 27.
- 2
36828 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 36828 itself that is 70692, so 36828 is abundant (70692 is more than 36828). Euler's totient φ(36828) = 10800 numbers up to 36828 share no factor with it.
- 4
The digits of 36828 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36828 = 2^{2} \times 3^{3} \times 11 \times 31 \]36828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 10800 |
| Square | 1356301584 |
| Cube | 49949874735552 |
| Square root | 191.906227 (= 6√1023) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.6828 × |
36828 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and twenty-eight |
| Binary (base 2) | 1000111111011100 |
| Octal (base 8) | 107734 |
| Hexadecimal (base 16) | 8FDC |
| Base 3 | 1212112000 |
| As time | 36828 seconds = 10 h 13 min 48 s |
Is 36828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36828 ÷ 2 = 18414) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36828 ÷ 3 = 12276) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36828 ÷ 4 = 9207) | 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 (36828 ÷ 6 = 6138) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36828 ÷ 9 = 4092) | 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 | Yes (36828 ÷ 11 = 3348) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36828 ÷ 12 = 3069) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36828 a prime number?
No. 36828 = × × 11 × 31, so it is divisible by 2.
What are the factors of 36828?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 31, 33, 36, 44, 54, 62, 66, 93, 99, 108, 124, 132, 186, 198, 279, 297, 341, 372, 396, 558, 594, 682, 837, 1023, 1116, 1188, 1364, 1674, 2046, 3069, 3348, 4092, 6138, 9207, 12276, 18414, 36828.
What is 36828 in binary?
1000111111011100 (hexadecimal 8FDC, octal 107734).
What is the square root of 36828?
About 191.9062, exactly 6√1023.
Is 36828 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 36828?
36828 is a Harshad number: divisible by its digit sum 27.