The number 35204
35204 is a composite number with 12 divisors. Its prime factorisation is × 13 × 677. Divisors (12): 1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602, 35204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35204 is composite. Its prime factorisation is
- 3
The divisors add up to 66444; without 35204 itself that is 31240, so 35204 is deficient (31240 is less than 35204). Euler's totient φ(35204) = 16224 numbers up to 35204 share no factor with it.
- 4
The digits of 35204 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35204 = 2^{2} \times 13 \times 677 \]35204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66444 |
| Euler totient φ(n) | 16224 |
| Square | 1239321616 |
| Cube | 43629078169664 |
| Square root | 187.627290 (= 2√8801) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5204 × |
35204 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand two hundred and four |
| Binary (base 2) | 1000100110000100 |
| Octal (base 8) | 104604 |
| Hexadecimal (base 16) | 8984 |
| Base 3 | 1210021212 |
| As time | 35204 seconds = 9 h 46 min 44 s |
Is 35204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35204 ÷ 2 = 17602) | 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 (35204 ÷ 4 = 8801) | 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 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 | No (remainder 5) | 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 4) | 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 35204 a prime number?
No. 35204 = × 13 × 677, so it is divisible by 2.
What are the factors of 35204?
1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602, 35204.
What is 35204 in binary?
1000100110000100 (hexadecimal 8984, octal 104604).
What is the square root of 35204?
About 187.6273, exactly 2√8801.
Is 35204 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 35204?
It is a composite number with 12 divisors.