The number 36855
36855 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 13. Divisors (40): 1, 3, 5, 7, 9, 13, 15, 21, 27, 35, 39, 45, 63, 65, 81, 91 … 36855.
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How to work it out
- 1
What is special about 36855: a Harshad number: divisible by its digit sum 27.
- 2
36855 is composite. Its prime factorisation is
- 3
The divisors add up to 81312; without 36855 itself that is 44457, so 36855 is abundant (44457 is more than 36855). Euler's totient φ(36855) = 15552 numbers up to 36855 share no factor with it.
- 4
The digits of 36855 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36855 = 3^{4} \times 5 \times 7 \times 13 \]36855 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 81312 |
| Euler totient φ(n) | 15552 |
| Square | 1358291025 |
| Cube | 50059815726375 |
| Square root | 191.976561 (= 9√455) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.6855 × |
36855 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and fifty-five |
| Binary (base 2) | 1000111111110111 |
| Octal (base 8) | 107767 |
| Hexadecimal (base 16) | 8FF7 |
| Base 3 | 1212120000 |
| As time | 36855 seconds = 10 h 14 min 15 s |
Is 36855 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36855 ÷ 3 = 12285) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36855 ÷ 5 = 7371) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36855 ÷ 7 = 5265) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36855 ÷ 9 = 4095) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36855 a prime number?
No. 36855 = × 5 × 7 × 13, so it is divisible by 3.
What are the factors of 36855?
1, 3, 5, 7, 9, 13, 15, 21, 27, 35, 39, 45, 63, 65, 81, 91, 105, 117, 135, 189, 195, 273, 315, 351, 405, 455, 567, 585, 819, 945, 1053, 1365, 1755, 2457, 2835, 4095, 5265, 7371, 12285, 36855.
What is 36855 in binary?
1000111111110111 (hexadecimal 8FF7, octal 107767).
What is the square root of 36855?
About 191.9766, exactly 9√455.
Is 36855 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 36855?
36855 is a Harshad number: divisible by its digit sum 27.