The number 35107
35107 is the 3743rd prime number. Its only divisors are 1 and 35107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35107: the 3743rd prime number.
- 2
35107 is prime, so its only factors are 1 and 35107. It is the 3743rd prime; the next prime is 35111 and the one before is 35099.
- 3
The divisors add up to 35108; without 35107 itself that is 1, so 35107 is deficient (1 is less than 35107). Euler's totient φ(35107) = 35106 numbers up to 35107 share no factor with it.
- 4
The digits of 35107 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
35107 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35108 |
| Euler totient φ(n) | 35106 |
| Square | 1232501449 |
| Cube | 43269428370043 |
| Square root | 187.368621 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5107 × |
35107 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand one hundred and seven |
| Binary (base 2) | 1000100100100011 |
| Octal (base 8) | 104443 |
| Hexadecimal (base 16) | 8923 |
| Base 3 | 1210011021 |
| As time | 35107 seconds = 9 h 45 min 7 s |
Is 35107 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 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 35107 a prime number?
Yes. 35107 is divisible only by 1 and itself.
What are the factors of 35107?
1, 35107.
What is 35107 in binary?
1000100100100011 (hexadecimal 8923, octal 104443).
What is the square root of 35107?
About 187.3686.
Is 35107 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35107?
35107 is the 3743rd prime number.