The number 35010
35010 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 389. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 389, 778, 1167, 1945 … 35010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35010: a Harshad number: divisible by its digit sum 9.
- 2
35010 is composite. Its prime factorisation is
- 3
The divisors add up to 91260; without 35010 itself that is 56250, so 35010 is abundant (56250 is more than 35010). Euler's totient φ(35010) = 9312 numbers up to 35010 share no factor with it.
- 4
The digits of 35010 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35010 = 2 \times 3^{2} \times 5 \times 389 \]35010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91260 |
| Euler totient φ(n) | 9312 |
| Square | 1225700100 |
| Cube | 42911760501000 |
| Square root | 187.109594 (= 3√3890) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.501 × |
35010 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and ten |
| Binary (base 2) | 1000100011000010 |
| Octal (base 8) | 104302 |
| Hexadecimal (base 16) | 88C2 |
| Base 3 | 1210000200 |
| As time | 35010 seconds = 9 h 43 min 30 s |
Is 35010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35010 ÷ 2 = 17505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35010 ÷ 3 = 11670) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35010 ÷ 5 = 7002) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35010 ÷ 6 = 5835) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35010 ÷ 9 = 3890) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35010 ÷ 10 = 3501) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35010 a prime number?
No. 35010 = 2 × × 5 × 389, so it is divisible by 2.
What are the factors of 35010?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 389, 778, 1167, 1945, 2334, 3501, 3890, 5835, 7002, 11670, 17505, 35010.
What is 35010 in binary?
1000100011000010 (hexadecimal 88C2, octal 104302).
What is the square root of 35010?
About 187.1096, exactly 3√3890.
Is 35010 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 35010?
35010 is a Harshad number: divisible by its digit sum 9.