The number 62137
62137 is the 6246th prime number. Its only divisors are 1 and 62137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62137: the 6246th prime number.
- 2
62137 is prime, so its only factors are 1 and 62137. It is the 6246th prime; the next prime is 62141 and the one before is 62131.
- 3
The divisors add up to 62138; without 62137 itself that is 1, so 62137 is deficient (1 is less than 62137). Euler's totient φ(62137) = 62136 numbers up to 62137 share no factor with it.
- 4
The digits of 62137 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 148 steps to reach 1.
62137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 62138 |
| Euler totient φ(n) | 62136 |
| Square | 3861006769 |
| Cube | 239911377605353 |
| Square root | 249.272943 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.2137 × |
62137 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand one hundred and thirty-seven |
| Binary (base 2) | 1111001010111001 |
| Octal (base 8) | 171271 |
| Hexadecimal (base 16) | F2B9 |
| Base 3 | 10011020101 |
| As time | 62137 seconds = 17 h 15 min 37 s |
Is 62137 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62137 a prime number?
Yes. 62137 is divisible only by 1 and itself.
What are the factors of 62137?
1, 62137.
What is 62137 in binary?
1111001010111001 (hexadecimal F2B9, octal 171271).
What is the square root of 62137?
About 249.2729.
Is 62137 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 62137?
62137 is the 6246th prime number.