The number 35704
35704 is a composite number with 8 divisors. Its prime factorisation is × 4463. Divisors (8): 1, 2, 4, 8, 4463, 8926, 17852, 35704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35704 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 35704 itself that is 31256, so 35704 is deficient (31256 is less than 35704). Euler's totient φ(35704) = 17848 numbers up to 35704 share no factor with it.
- 4
The digits of 35704 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35704 = 2^{3} \times 4463 \]35704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 17848 |
| Square | 1274775616 |
| Cube | 45514588593664 |
| Square root | 188.955021 (= 2√8926) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5704 × |
35704 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and four |
| Binary (base 2) | 1000101101111000 |
| Octal (base 8) | 105570 |
| Hexadecimal (base 16) | 8B78 |
| Base 3 | 1210222101 |
| As time | 35704 seconds = 9 h 55 min 4 s |
Is 35704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35704 ÷ 2 = 17852) | 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 (35704 ÷ 4 = 8926) | 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 4) | 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 | Yes (35704 ÷ 8 = 4463) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | 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 35704 a prime number?
No. 35704 = × 4463, so it is divisible by 2.
What are the factors of 35704?
1, 2, 4, 8, 4463, 8926, 17852, 35704.
What is 35704 in binary?
1000101101111000 (hexadecimal 8B78, octal 105570).
What is the square root of 35704?
About 188.9550, exactly 2√8926.
Is 35704 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 35704?
It is a composite number with 8 divisors.