The number 36704
36704 is a composite number with 24 divisors. Its prime factorisation is × 31 × 37. Divisors (24): 1, 2, 4, 8, 16, 31, 32, 37, 62, 74, 124, 148, 248, 296, 496, 592 … 36704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36704 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 36704 itself that is 39904, so 36704 is abundant (39904 is more than 36704). Euler's totient φ(36704) = 17280 numbers up to 36704 share no factor with it.
- 4
The digits of 36704 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36704 = 2^{5} \times 31 \times 37 \]36704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 17280 |
| Square | 1347183616 |
| Cube | 49447027441664 |
| Square root | 191.582880 (= 4√2294) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6704 × |
36704 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and four |
| Binary (base 2) | 1000111101100000 |
| Octal (base 8) | 107540 |
| Hexadecimal (base 16) | 8F60 |
| Base 3 | 1212100102 |
| As time | 36704 seconds = 10 h 11 min 44 s |
Is 36704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36704 ÷ 2 = 18352) | 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 (36704 ÷ 4 = 9176) | 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 3) | 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 (36704 ÷ 8 = 4588) | 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 8) | 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 36704 a prime number?
No. 36704 = × 31 × 37, so it is divisible by 2.
What are the factors of 36704?
1, 2, 4, 8, 16, 31, 32, 37, 62, 74, 124, 148, 248, 296, 496, 592, 992, 1147, 1184, 2294, 4588, 9176, 18352, 36704.
What is 36704 in binary?
1000111101100000 (hexadecimal 8F60, octal 107540).
What is the square root of 36704?
About 191.5829, exactly 4√2294.
Is 36704 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 36704?
It is a composite number with 24 divisors.