The number 35027
35027 is the 3734th prime number. Its only divisors are 1 and 35027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35027: the 3734th prime number.
- 2
35027 is prime, so its only factors are 1 and 35027. It is the 3734th prime; the next prime is 35051 and the one before is 35023.
- 3
The divisors add up to 35028; without 35027 itself that is 1, so 35027 is deficient (1 is less than 35027). Euler's totient φ(35027) = 35026 numbers up to 35027 share no factor with it.
- 4
The digits of 35027 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.
35027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35028 |
| Euler totient φ(n) | 35026 |
| Square | 1226890729 |
| Cube | 42974301564683 |
| Square root | 187.155016 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5027 × |
35027 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and twenty-seven |
| Binary (base 2) | 1000100011010011 |
| Octal (base 8) | 104323 |
| Hexadecimal (base 16) | 88D3 |
| Base 3 | 1210001022 |
| As time | 35027 seconds = 9 h 43 min 47 s |
Is 35027 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 3) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35027 a prime number?
Yes. 35027 is divisible only by 1 and itself.
What are the factors of 35027?
1, 35027.
What is 35027 in binary?
1000100011010011 (hexadecimal 88D3, octal 104323).
What is the square root of 35027?
About 187.1550.
Is 35027 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35027?
35027 is the 3734th prime number.