The number 35744
35744 is a composite number with 12 divisors. Its prime factorisation is × 1117. Divisors (12): 1, 2, 4, 8, 16, 32, 1117, 2234, 4468, 8936, 17872, 35744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35744 is composite. Its prime factorisation is
- 3
The divisors add up to 70434; without 35744 itself that is 34690, so 35744 is deficient (34690 is less than 35744). Euler's totient φ(35744) = 17856 numbers up to 35744 share no factor with it.
- 4
The digits of 35744 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35744 = 2^{5} \times 1117 \]35744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70434 |
| Euler totient φ(n) | 17856 |
| Square | 1277633536 |
| Cube | 45667733110784 |
| Square root | 189.060837 (= 4√2234) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5744 × |
35744 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and forty-four |
| Binary (base 2) | 1000101110100000 |
| Octal (base 8) | 105640 |
| Hexadecimal (base 16) | 8BA0 |
| Base 3 | 1211000212 |
| As time | 35744 seconds = 9 h 55 min 44 s |
Is 35744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35744 ÷ 2 = 17872) | 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 (35744 ÷ 4 = 8936) | 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 2) | 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 (35744 ÷ 8 = 4468) | 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 5) | 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 35744 a prime number?
No. 35744 = × 1117, so it is divisible by 2.
What are the factors of 35744?
1, 2, 4, 8, 16, 32, 1117, 2234, 4468, 8936, 17872, 35744.
What is 35744 in binary?
1000101110100000 (hexadecimal 8BA0, octal 105640).
What is the square root of 35744?
About 189.0608, exactly 4√2234.
Is 35744 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 35744?
It is a composite number with 12 divisors.