The number 35805
35805 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 11 × 31. Divisors (32): 1, 3, 5, 7, 11, 15, 21, 31, 33, 35, 55, 77, 93, 105, 155, 165 … 35805.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35805: a Harshad number: divisible by its digit sum 21.
- 2
35805 is composite. Its prime factorisation is
- 3
The divisors add up to 73728; without 35805 itself that is 37923, so 35805 is abundant (37923 is more than 35805). Euler's totient φ(35805) = 14400 numbers up to 35805 share no factor with it.
- 4
The digits of 35805 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35805 = 3 \times 5 \times 7 \times 11 \times 31 \]
35805 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 73728 |
| Euler totient φ(n) | 14400 |
| Square | 1281998025 |
| Cube | 45901939285125 |
| Square root | 189.222092 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5805 × |
35805 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and five |
| Binary (base 2) | 1000101111011101 |
| Octal (base 8) | 105735 |
| Hexadecimal (base 16) | 8BDD |
| Base 3 | 1211010010 |
| As time | 35805 seconds = 9 h 56 min 45 s |
Is 35805 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 (35805 ÷ 3 = 11935) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35805 ÷ 5 = 7161) | 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 (35805 ÷ 7 = 5115) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (35805 ÷ 11 = 3255) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35805 a prime number?
No. 35805 = 3 × 5 × 7 × 11 × 31, so it is divisible by 3.
What are the factors of 35805?
1, 3, 5, 7, 11, 15, 21, 31, 33, 35, 55, 77, 93, 105, 155, 165, 217, 231, 341, 385, 465, 651, 1023, 1085, 1155, 1705, 2387, 3255, 5115, 7161, 11935, 35805.
What is 35805 in binary?
1000101111011101 (hexadecimal 8BDD, octal 105735).
What is the square root of 35805?
About 189.2221.
Is 35805 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35805?
35805 is a Harshad number: divisible by its digit sum 21.