The number 35750
35750 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 13. Divisors (32): 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 125, 130, 143 … 35750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35750 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 35750 itself that is 42874, so 35750 is abundant (42874 is more than 35750). Euler's totient φ(35750) = 12000 numbers up to 35750 share no factor with it.
- 4
The digits of 35750 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35750 = 2 \times 5^{3} \times 11 \times 13 \]35750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 12000 |
| Square | 1278062500 |
| Cube | 45690734375000 |
| Square root | 189.076704 (= 5√1430) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.575 × |
35750 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and fifty |
| Binary (base 2) | 1000101110100110 |
| Octal (base 8) | 105646 |
| Hexadecimal (base 16) | 8BA6 |
| Base 3 | 1211001002 |
| As time | 35750 seconds = 9 h 55 min 50 s |
Is 35750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35750 ÷ 2 = 17875) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35750 ÷ 5 = 7150) | 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 1) | 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 6) | 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 | Yes (35750 ÷ 10 = 3575) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (35750 ÷ 11 = 3250) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35750 a prime number?
No. 35750 = 2 × × 11 × 13, so it is divisible by 2.
What are the factors of 35750?
1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 125, 130, 143, 250, 275, 286, 325, 550, 650, 715, 1375, 1430, 1625, 2750, 3250, 3575, 7150, 17875, 35750.
What is 35750 in binary?
1000101110100110 (hexadecimal 8BA6, octal 105646).
What is the square root of 35750?
About 189.0767, exactly 5√1430.
Is 35750 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35750?
It is a composite number with 32 divisors.