The number 35875
35875 is a composite number with 16 divisors. Its prime factorisation is × 7 × 41. Divisors (16): 1, 5, 7, 25, 35, 41, 125, 175, 205, 287, 875, 1025, 1435, 5125, 7175, 35875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35875 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 35875 itself that is 16541, so 35875 is deficient (16541 is less than 35875). Euler's totient φ(35875) = 24000 numbers up to 35875 share no factor with it.
- 4
The digits of 35875 add up to 28, 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
\[ 35875 = 5^{3} \times 7 \times 41 \]35875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 24000 |
| Square | 1287015625 |
| Cube | 46171685546875 |
| Square root | 189.406969 (= 5√1435) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5875 × |
35875 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and seventy-five |
| Binary (base 2) | 1000110000100011 |
| Octal (base 8) | 106043 |
| Hexadecimal (base 16) | 8C23 |
| Base 3 | 1211012201 |
| As time | 35875 seconds = 9 h 57 min 55 s |
Is 35875 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35875 ÷ 5 = 7175) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35875 ÷ 7 = 5125) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35875 a prime number?
No. 35875 = × 7 × 41, so it is divisible by 5.
What are the factors of 35875?
1, 5, 7, 25, 35, 41, 125, 175, 205, 287, 875, 1025, 1435, 5125, 7175, 35875.
What is 35875 in binary?
1000110000100011 (hexadecimal 8C23, octal 106043).
What is the square root of 35875?
About 189.4070, exactly 5√1435.
Is 35875 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 35875?
It is a composite number with 16 divisors.