The number 35804
35804 is a composite number with 6 divisors. Its prime factorisation is × 8951. Divisors (6): 1, 2, 4, 8951, 17902, 35804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35804 is composite. Its prime factorisation is
- 3
The divisors add up to 62664; without 35804 itself that is 26860, so 35804 is deficient (26860 is less than 35804). Euler's totient φ(35804) = 17900 numbers up to 35804 share no factor with it.
- 4
The digits of 35804 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35804 = 2^{2} \times 8951 \]35804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 62664 |
| Euler totient φ(n) | 17900 |
| Square | 1281926416 |
| Cube | 45898093398464 |
| Square root | 189.219449 (= 2√8951) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5804 × |
35804 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and four |
| Binary (base 2) | 1000101111011100 |
| Octal (base 8) | 105734 |
| Hexadecimal (base 16) | 8BDC |
| Base 3 | 1211010002 |
| As time | 35804 seconds = 9 h 56 min 44 s |
Is 35804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35804 ÷ 2 = 17902) | 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 (35804 ÷ 4 = 8951) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 35804 a prime number?
No. 35804 = × 8951, so it is divisible by 2.
What are the factors of 35804?
1, 2, 4, 8951, 17902, 35804.
What is 35804 in binary?
1000101111011100 (hexadecimal 8BDC, octal 105734).
What is the square root of 35804?
About 189.2194, exactly 2√8951.
Is 35804 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35804?
It is a composite number with 6 divisors.