The number 35104
35104 is a composite number with 12 divisors. Its prime factorisation is × 1097. Divisors (12): 1, 2, 4, 8, 16, 32, 1097, 2194, 4388, 8776, 17552, 35104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35104 is composite. Its prime factorisation is
- 3
The divisors add up to 69174; without 35104 itself that is 34070, so 35104 is deficient (34070 is less than 35104). Euler's totient φ(35104) = 17536 numbers up to 35104 share no factor with it.
- 4
The digits of 35104 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35104 = 2^{5} \times 1097 \]35104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 69174 |
| Euler totient φ(n) | 17536 |
| Square | 1232290816 |
| Cube | 43258336804864 |
| Square root | 187.360615 (= 4√2194) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5104 × |
35104 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand one hundred and four |
| Binary (base 2) | 1000100100100000 |
| Octal (base 8) | 104440 |
| Hexadecimal (base 16) | 8920 |
| Base 3 | 1210011011 |
| As time | 35104 seconds = 9 h 45 min 4 s |
Is 35104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35104 ÷ 2 = 17552) | 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 (35104 ÷ 4 = 8776) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (35104 ÷ 8 = 4388) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 35104 a prime number?
No. 35104 = × 1097, so it is divisible by 2.
What are the factors of 35104?
1, 2, 4, 8, 16, 32, 1097, 2194, 4388, 8776, 17552, 35104.
What is 35104 in binary?
1000100100100000 (hexadecimal 8920, octal 104440).
What is the square root of 35104?
About 187.3606, exactly 4√2194.
Is 35104 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 35104?
It is a composite number with 12 divisors.