The number 35080
35080 is a composite number with 16 divisors. Its prime factorisation is × 5 × 877. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 877, 1754, 3508, 4385, 7016, 8770, 17540, 35080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35080 is composite. Its prime factorisation is
- 3
The divisors add up to 79020; without 35080 itself that is 43940, so 35080 is abundant (43940 is more than 35080). Euler's totient φ(35080) = 14016 numbers up to 35080 share no factor with it.
- 4
The digits of 35080 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35080 = 2^{3} \times 5 \times 877 \]35080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79020 |
| Euler totient φ(n) | 14016 |
| Square | 1230606400 |
| Cube | 43169672512000 |
| Square root | 187.296556 (= 2√8770) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.508 × |
35080 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and eighty |
| Binary (base 2) | 1000100100001000 |
| Octal (base 8) | 104410 |
| Hexadecimal (base 16) | 8908 |
| Base 3 | 1210010021 |
| As time | 35080 seconds = 9 h 44 min 40 s |
Is 35080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35080 ÷ 2 = 17540) | 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 (35080 ÷ 4 = 8770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35080 ÷ 5 = 7016) | 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 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 | Yes (35080 ÷ 8 = 4385) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35080 ÷ 10 = 3508) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 35080 a prime number?
No. 35080 = × 5 × 877, so it is divisible by 2.
What are the factors of 35080?
1, 2, 4, 5, 8, 10, 20, 40, 877, 1754, 3508, 4385, 7016, 8770, 17540, 35080.
What is 35080 in binary?
1000100100001000 (hexadecimal 8908, octal 104410).
What is the square root of 35080?
About 187.2966, exactly 2√8770.
Is 35080 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35080?
It is a composite number with 16 divisors.