The number 35108
35108 is a composite number with 12 divisors. Its prime factorisation is × 67 × 131. Divisors (12): 1, 2, 4, 67, 131, 134, 262, 268, 524, 8777, 17554, 35108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35108 is composite. Its prime factorisation is
- 3
The divisors add up to 62832; without 35108 itself that is 27724, so 35108 is deficient (27724 is less than 35108). Euler's totient φ(35108) = 17160 numbers up to 35108 share no factor with it.
- 4
The digits of 35108 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35108 = 2^{2} \times 67 \times 131 \]35108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62832 |
| Euler totient φ(n) | 17160 |
| Square | 1232571664 |
| Cube | 43273125979712 |
| Square root | 187.371289 (= 2√8777) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5108 × |
35108 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand one hundred and eight |
| Binary (base 2) | 1000100100100100 |
| Octal (base 8) | 104444 |
| Hexadecimal (base 16) | 8924 |
| Base 3 | 1210011022 |
| As time | 35108 seconds = 9 h 45 min 8 s |
Is 35108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35108 ÷ 2 = 17554) | 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 (35108 ÷ 4 = 8777) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 35108 a prime number?
No. 35108 = × 67 × 131, so it is divisible by 2.
What are the factors of 35108?
1, 2, 4, 67, 131, 134, 262, 268, 524, 8777, 17554, 35108.
What is 35108 in binary?
1000100100100100 (hexadecimal 8924, octal 104444).
What is the square root of 35108?
About 187.3713, exactly 2√8777.
Is 35108 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35108?
It is a composite number with 12 divisors.