The number 78137
78137 is a twin prime (78137 and 78139 are both prime) and the 7672nd prime number. Its only divisors are 1 and 78137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 78137: a twin prime (78137 and 78139 are both prime); the 7672nd prime number.
- 2
78137 is prime, so its only factors are 1 and 78137. It is the 7672nd prime; the next prime is 78139 and the one before is 78121.
- 3
The divisors add up to 78138; without 78137 itself that is 1, so 78137 is deficient (1 is less than 78137). Euler's totient φ(78137) = 78136 numbers up to 78137 share no factor with it.
- 4
The digits of 78137 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
78137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 78138 |
| Euler totient φ(n) | 78136 |
| Square | 6105390769 |
| Cube | 477056918517353 |
| Square root | 279.529963 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.8137 × |
78137 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand one hundred and thirty-seven |
| Binary (base 2) | 10011000100111001 |
| Octal (base 8) | 230471 |
| Hexadecimal (base 16) | 13139 |
| Base 3 | 10222011222 |
| As time | 78137 seconds = 21 h 42 min 17 s |
Is 78137 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 3) | 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 8) | 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 4) | 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 78137 a prime number?
Yes. 78137 is divisible only by 1 and itself.
What are the factors of 78137?
1, 78137.
What is 78137 in binary?
10011000100111001 (hexadecimal 13139, octal 230471).
What is the square root of 78137?
About 279.5300.
Is 78137 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 78137?
78137 is a twin prime (78137 and 78139 are both prime); the 7672nd prime number.