The number 84137
84137 is the 8202nd prime number. Its only divisors are 1 and 84137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84137: the 8202nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84137 is prime, so its only factors are 1 and 84137. It is the 8202nd prime; the next prime is 84143 and the one before is 84131.
- 3
The divisors add up to 84138; without 84137 itself that is 1, so 84137 is deficient (1 is less than 84137). Euler's totient φ(84137) = 84136 numbers up to 84137 share no factor with it.
- 4
The digits of 84137 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
84137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 84138 |
| Euler totient φ(n) | 84136 |
| Square | 7079034769 |
| Cube | 595608748359353 |
| Square root | 290.063786 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.4137 × |
84137 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand one hundred and thirty-seven |
| Binary (base 2) | 10100100010101001 |
| Octal (base 8) | 244251 |
| Hexadecimal (base 16) | 148A9 |
| Base 3 | 11021102012 |
| As time | 84137 seconds = 23 h 22 min 17 s |
Is 84137 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 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 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 5) | 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 9) | 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 84137 a prime number?
Yes. 84137 is divisible only by 1 and itself.
What are the factors of 84137?
1, 84137.
What is 84137 in binary?
10100100010101001 (hexadecimal 148A9, octal 244251).
What is the square root of 84137?
About 290.0638.
Is 84137 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 84137?
84137 is the 8202nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.