The number 35752
35752 is a composite number with 16 divisors. Its prime factorisation is × 41 × 109. Divisors (16): 1, 2, 4, 8, 41, 82, 109, 164, 218, 328, 436, 872, 4469, 8938, 17876, 35752.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35752 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35752 is composite. Its prime factorisation is
- 3
The divisors add up to 69300; without 35752 itself that is 33548, so 35752 is deficient (33548 is less than 35752). Euler's totient φ(35752) = 17280 numbers up to 35752 share no factor with it.
- 4
The digits of 35752 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35752 = 2^{3} \times 41 \times 109 \]35752 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69300 |
| Euler totient φ(n) | 17280 |
| Square | 1278205504 |
| Cube | 45698403179008 |
| Square root | 189.081993 (= 2√8938) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5752 × |
35752 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and fifty-two |
| Binary (base 2) | 1000101110101000 |
| Octal (base 8) | 105650 |
| Hexadecimal (base 16) | 8BA8 |
| Base 3 | 1211001011 |
| As time | 35752 seconds = 9 h 55 min 52 s |
Is 35752 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35752 ÷ 2 = 17876) | 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 (35752 ÷ 4 = 8938) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 (35752 ÷ 8 = 4469) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 35752 a prime number?
No. 35752 = × 41 × 109, so it is divisible by 2.
What are the factors of 35752?
1, 2, 4, 8, 41, 82, 109, 164, 218, 328, 436, 872, 4469, 8938, 17876, 35752.
What is 35752 in binary?
1000101110101000 (hexadecimal 8BA8, octal 105650).
What is the square root of 35752?
About 189.0820, exactly 2√8938.
Is 35752 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 35752?
It is a composite number with 16 divisors.