The number 35081
35081 is a twin prime (35081 and 35083 are both prime) and the 3739th prime number. Its only divisors are 1 and 35081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35081: a twin prime (35081 and 35083 are both prime); the 3739th prime number.
- 2
35081 is prime, so its only factors are 1 and 35081. It is the 3739th prime; the next prime is 35083 and the one before is 35069.
- 3
The divisors add up to 35082; without 35081 itself that is 1, so 35081 is deficient (1 is less than 35081). Euler's totient φ(35081) = 35080 numbers up to 35081 share no factor with it.
- 4
The digits of 35081 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.
35081 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35082 |
| Euler totient φ(n) | 35080 |
| Square | 1230676561 |
| Cube | 43173364436441 |
| Square root | 187.299226 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5081 × |
35081 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and eighty-one |
| Binary (base 2) | 1000100100001001 |
| Octal (base 8) | 104411 |
| Hexadecimal (base 16) | 8909 |
| Base 3 | 1210010022 |
| As time | 35081 seconds = 9 h 44 min 41 s |
Is 35081 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 1) | 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 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 | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 35081 a prime number?
Yes. 35081 is divisible only by 1 and itself.
What are the factors of 35081?
1, 35081.
What is 35081 in binary?
1000100100001001 (hexadecimal 8909, octal 104411).
What is the square root of 35081?
About 187.2992.
Is 35081 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35081?
35081 is a twin prime (35081 and 35083 are both prime); the 3739th prime number.