The number 35084
35084 is a composite number with 18 divisors. Its prime factorisation is × × 179. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 179, 196, 358, 716, 1253, 2506, 5012, 8771 … 35084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35084 is composite. Its prime factorisation is
- 3
The divisors add up to 71820; without 35084 itself that is 36736, so 35084 is abundant (36736 is more than 35084). Euler's totient φ(35084) = 14952 numbers up to 35084 share no factor with it.
- 4
The digits of 35084 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35084 = 2^{2} \times 7^{2} \times 179 \]35084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 71820 |
| Euler totient φ(n) | 14952 |
| Square | 1230887056 |
| Cube | 43184441472704 |
| Square root | 187.307234 (= 14√179) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5084 × |
35084 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and eighty-four |
| Binary (base 2) | 1000100100001100 |
| Octal (base 8) | 104414 |
| Hexadecimal (base 16) | 890C |
| Base 3 | 1210010102 |
| As time | 35084 seconds = 9 h 44 min 44 s |
Is 35084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35084 ÷ 2 = 17542) | 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 (35084 ÷ 4 = 8771) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35084 ÷ 7 = 5012) | 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 2) | 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 5) | 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 35084 a prime number?
No. 35084 = × × 179, so it is divisible by 2.
What are the factors of 35084?
1, 2, 4, 7, 14, 28, 49, 98, 179, 196, 358, 716, 1253, 2506, 5012, 8771, 17542, 35084.
What is 35084 in binary?
1000100100001100 (hexadecimal 890C, octal 104414).
What is the square root of 35084?
About 187.3072, exactly 14√179.
Is 35084 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35084?
It is a composite number with 18 divisors.