The number 76367
76367 is a palindromic prime: it reads the same backwards and is prime, a twin prime (76367 and 76369 are both prime) and the 7513th prime number. Its only divisors are 1 and 76367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76367: a palindromic prime: it reads the same backwards and is prime; a twin prime (76367 and 76369 are both prime); the 7513th prime number; a palindrome: it reads 76367 backwards too.
- 2
76367 is prime, so its only factors are 1 and 76367. It is the 7513th prime; the next prime is 76369 and the one before is 76343.
- 3
The divisors add up to 76368; without 76367 itself that is 1, so 76367 is deficient (1 is less than 76367). Euler's totient φ(76367) = 76366 numbers up to 76367 share no factor with it.
- 4
The digits of 76367 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
76367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76368 |
| Euler totient φ(n) | 76366 |
| Square | 5831918689 |
| Cube | 445366134522863 |
| Square root | 276.345798 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6367 × |
76367 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and sixty-seven |
| Binary (base 2) | 10010101001001111 |
| Octal (base 8) | 225117 |
| Hexadecimal (base 16) | 12A4F |
| Base 3 | 10212202102 |
| As time | 76367 seconds = 21 h 12 min 47 s |
Is 76367 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 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76367 a prime number?
Yes. 76367 is divisible only by 1 and itself.
What are the factors of 76367?
1, 76367.
What is 76367 in binary?
10010101001001111 (hexadecimal 12A4F, octal 225117).
What is the square root of 76367?
About 276.3458.
Is 76367 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 76367?
76367 is a palindromic prime: it reads the same backwards and is prime; a twin prime (76367 and 76369 are both prime); the 7513th prime number; a palindrome: it reads 76367 backwards too.