The number 35005
35005 is a composite number with 4 divisors. Its prime factorisation is 5 × 7001. Divisors (4): 1, 5, 7001, 35005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35005: a semiprime: 5 × 7001, the product of two primes.
- 2
35005 is composite. Its prime factorisation is
- 3
The divisors add up to 42012; without 35005 itself that is 7007, so 35005 is deficient (7007 is less than 35005). Euler's totient φ(35005) = 28000 numbers up to 35005 share no factor with it.
- 4
The digits of 35005 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35005 = 5 \times 7001 \]
35005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42012 |
| Euler totient φ(n) | 28000 |
| Square | 1225350025 |
| Cube | 42893377625125 |
| Square root | 187.096232 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.5005 × |
35005 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and five |
| Binary (base 2) | 1000100010111101 |
| Octal (base 8) | 104275 |
| Hexadecimal (base 16) | 88BD |
| Base 3 | 1210000111 |
| As time | 35005 seconds = 9 h 43 min 25 s |
Is 35005 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 1) | 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 | Yes (35005 ÷ 5 = 7001) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35005 a prime number?
No. 35005 = 5 × 7001, so it is divisible by 5.
What are the factors of 35005?
1, 5, 7001, 35005.
What is 35005 in binary?
1000100010111101 (hexadecimal 88BD, octal 104275).
What is the square root of 35005?
About 187.0962.
Is 35005 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 35005?
35005 is a semiprime: 5 × 7001, the product of two primes.