The number 35083
35083 is a twin prime (35081 and 35083 are both prime) and the 3740th prime number. Its only divisors are 1 and 35083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35083: a twin prime (35081 and 35083 are both prime); the 3740th prime number.
- 2
35083 is prime, so its only factors are 1 and 35083. It is the 3740th prime; the next prime is 35089 and the one before is 35081.
- 3
The divisors add up to 35084; without 35083 itself that is 1, so 35083 is deficient (1 is less than 35083). Euler's totient φ(35083) = 35082 numbers up to 35083 share no factor with it.
- 4
The digits of 35083 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
35083 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35084 |
| Euler totient φ(n) | 35082 |
| Square | 1230816889 |
| Cube | 43180748916787 |
| Square root | 187.304565 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5083 × |
35083 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and eighty-three |
| Binary (base 2) | 1000100100001011 |
| Octal (base 8) | 104413 |
| Hexadecimal (base 16) | 890B |
| Base 3 | 1210010101 |
| As time | 35083 seconds = 9 h 44 min 43 s |
Is 35083 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35083 a prime number?
Yes. 35083 is divisible only by 1 and itself.
What are the factors of 35083?
1, 35083.
What is 35083 in binary?
1000100100001011 (hexadecimal 890B, octal 104413).
What is the square root of 35083?
About 187.3046.
Is 35083 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 35083?
35083 is a twin prime (35081 and 35083 are both prime); the 3740th prime number.