The number 83137
83137 is the 8119th prime number. Its only divisors are 1 and 83137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83137: the 8119th prime number.
- 2
83137 is prime, so its only factors are 1 and 83137. It is the 8119th prime; the next prime is 83177 and the one before is 83117.
- 3
The divisors add up to 83138; without 83137 itself that is 1, so 83137 is deficient (1 is less than 83137). Euler's totient φ(83137) = 83136 numbers up to 83137 share no factor with it.
- 4
The digits of 83137 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
83137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83138 |
| Euler totient φ(n) | 83136 |
| Square | 6911760769 |
| Cube | 574623055052353 |
| Square root | 288.334875 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 112 |
| Scientific notation | 8.3137 × |
83137 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and thirty-seven |
| Binary (base 2) | 10100010011000001 |
| Octal (base 8) | 242301 |
| Hexadecimal (base 16) | 144C1 |
| Base 3 | 11020001011 |
| As time | 83137 seconds = 23 h 5 min 37 s |
Is 83137 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 | 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 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 83137 a prime number?
Yes. 83137 is divisible only by 1 and itself.
What are the factors of 83137?
1, 83137.
What is 83137 in binary?
10100010011000001 (hexadecimal 144C1, octal 242301).
What is the square root of 83137?
About 288.3349.
Is 83137 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 83137?
83137 is the 8119th prime number.