The number 35088
35088 is a composite number with 40 divisors. Its prime factorisation is × 3 × 17 × 43. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 43, 48, 51, 68, 86 … 35088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35088: a Harshad number: divisible by its digit sum 24.
- 2
35088 is composite. Its prime factorisation is
- 3
The divisors add up to 98208; without 35088 itself that is 63120, so 35088 is abundant (63120 is more than 35088). Euler's totient φ(35088) = 10752 numbers up to 35088 share no factor with it.
- 4
The digits of 35088 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35088 = 2^{4} \times 3 \times 17 \times 43 \]35088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 98208 |
| Euler totient φ(n) | 10752 |
| Square | 1231167744 |
| Cube | 43199213801472 |
| Square root | 187.317912 (= 4√2193) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5088 × |
35088 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and eighty-eight |
| Binary (base 2) | 1000100100010000 |
| Octal (base 8) | 104420 |
| Hexadecimal (base 16) | 8910 |
| Base 3 | 1210010120 |
| As time | 35088 seconds = 9 h 44 min 48 s |
Is 35088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35088 ÷ 2 = 17544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35088 ÷ 3 = 11696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35088 ÷ 4 = 8772) | 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 | Yes (35088 ÷ 6 = 5848) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (35088 ÷ 8 = 4386) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35088 ÷ 12 = 2924) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35088 a prime number?
No. 35088 = × 3 × 17 × 43, so it is divisible by 2.
What are the factors of 35088?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 43, 48, 51, 68, 86, 102, 129, 136, 172, 204, 258, 272, 344, 408, 516, 688, 731, 816, 1032, 1462, 2064, 2193, 2924, 4386, 5848, 8772, 11696, 17544, 35088.
What is 35088 in binary?
1000100100010000 (hexadecimal 8910, octal 104420).
What is the square root of 35088?
About 187.3179, exactly 4√2193.
Is 35088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 35088?
35088 is a Harshad number: divisible by its digit sum 24.