The number 35009
35009 is a composite number with 4 divisors. Its prime factorisation is 13 × 2693. Divisors (4): 1, 13, 2693, 35009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35009: a semiprime: 13 × 2693, the product of two primes.
- 2
35009 is composite. Its prime factorisation is
- 3
The divisors add up to 37716; without 35009 itself that is 2707, so 35009 is deficient (2707 is less than 35009). Euler's totient φ(35009) = 32304 numbers up to 35009 share no factor with it.
- 4
The digits of 35009 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35009 = 13 \times 2693 \]
35009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37716 |
| Euler totient φ(n) | 32304 |
| Square | 1225630081 |
| Cube | 42908083505729 |
| Square root | 187.106921 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5009 × |
35009 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and nine |
| Binary (base 2) | 1000100011000001 |
| Octal (base 8) | 104301 |
| Hexadecimal (base 16) | 88C1 |
| Base 3 | 1210000122 |
| As time | 35009 seconds = 9 h 43 min 29 s |
Is 35009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35009 a prime number?
No. 35009 = 13 × 2693, so it is divisible by 13.
What are the factors of 35009?
1, 13, 2693, 35009.
What is 35009 in binary?
1000100011000001 (hexadecimal 88C1, octal 104301).
What is the square root of 35009?
About 187.1069.
Is 35009 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35009?
35009 is a semiprime: 13 × 2693, the product of two primes.