The number 76387
76387 is the 7516th prime number. Its only divisors are 1 and 76387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76387: the 7516th prime number.
- 2
76387 is prime, so its only factors are 1 and 76387. It is the 7516th prime; the next prime is 76403 and the one before is 76379.
- 3
The divisors add up to 76388; without 76387 itself that is 1, so 76387 is deficient (1 is less than 76387). Euler's totient φ(76387) = 76386 numbers up to 76387 share no factor with it.
- 4
The digits of 76387 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
76387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76388 |
| Euler totient φ(n) | 76386 |
| Square | 5834973769 |
| Cube | 445716141292603 |
| Square root | 276.381982 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.6387 × |
76387 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and eighty-seven |
| Binary (base 2) | 10010101001100011 |
| Octal (base 8) | 225143 |
| Hexadecimal (base 16) | 12A63 |
| Base 3 | 10212210011 |
| As time | 76387 seconds = 21 h 13 min 7 s |
Is 76387 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 3) | 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 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76387 a prime number?
Yes. 76387 is divisible only by 1 and itself.
What are the factors of 76387?
1, 76387.
What is 76387 in binary?
10010101001100011 (hexadecimal 12A63, octal 225143).
What is the square root of 76387?
About 276.3820.
Is 76387 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 76387?
76387 is the 7516th prime number.