The number 77137
77137 is the 7578th prime number. Its only divisors are 1 and 77137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77137: the 7578th prime number.
- 2
77137 is prime, so its only factors are 1 and 77137. It is the 7578th prime; the next prime is 77141 and the one before is 77101.
- 3
The divisors add up to 77138; without 77137 itself that is 1, so 77137 is deficient (1 is less than 77137). Euler's totient φ(77137) = 77136 numbers up to 77137 share no factor with it.
- 4
The digits of 77137 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
77137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77138 |
| Euler totient φ(n) | 77136 |
| Square | 5950116769 |
| Cube | 458974157210353 |
| Square root | 277.735486 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.7137 × |
77137 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and thirty-seven |
| Binary (base 2) | 10010110101010001 |
| Octal (base 8) | 226521 |
| Hexadecimal (base 16) | 12D51 |
| Base 3 | 10220210221 |
| As time | 77137 seconds = 21 h 25 min 37 s |
Is 77137 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 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 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 5) | 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 77137 a prime number?
Yes. 77137 is divisible only by 1 and itself.
What are the factors of 77137?
1, 77137.
What is 77137 in binary?
10010110101010001 (hexadecimal 12D51, octal 226521).
What is the square root of 77137?
About 277.7355.
Is 77137 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77137?
77137 is the 7578th prime number.