The number 35404
35404 is a composite number with 12 divisors. Its prime factorisation is × 53 × 167. Divisors (12): 1, 2, 4, 53, 106, 167, 212, 334, 668, 8851, 17702, 35404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35404 is composite. Its prime factorisation is
- 3
The divisors add up to 63504; without 35404 itself that is 28100, so 35404 is deficient (28100 is less than 35404). Euler's totient φ(35404) = 17264 numbers up to 35404 share no factor with it.
- 4
The digits of 35404 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35404 = 2^{2} \times 53 \times 167 \]35404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63504 |
| Euler totient φ(n) | 17264 |
| Square | 1253443216 |
| Cube | 44376903619264 |
| Square root | 188.159507 (= 2√8851) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5404 × |
35404 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and four |
| Binary (base 2) | 1000101001001100 |
| Octal (base 8) | 105114 |
| Hexadecimal (base 16) | 8A4C |
| Base 3 | 1210120021 |
| As time | 35404 seconds = 9 h 50 min 4 s |
Is 35404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35404 ÷ 2 = 17702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35404 ÷ 4 = 8851) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35404 a prime number?
No. 35404 = × 53 × 167, so it is divisible by 2.
What are the factors of 35404?
1, 2, 4, 53, 106, 167, 212, 334, 668, 8851, 17702, 35404.
What is 35404 in binary?
1000101001001100 (hexadecimal 8A4C, octal 105114).
What is the square root of 35404?
About 188.1595, exactly 2√8851.
Is 35404 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35404?
It is a composite number with 12 divisors.