The number 76667
76667 is a palindromic prime: it reads the same backwards and is prime, the 7540th prime number and a palindrome: it reads 76667 backwards too. Its only divisors are 1 and 76667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76667: a palindromic prime: it reads the same backwards and is prime; the 7540th prime number; a palindrome: it reads 76667 backwards too.
- 2
76667 is prime, so its only factors are 1 and 76667. It is the 7540th prime; the next prime is 76673 and the one before is 76651.
- 3
The divisors add up to 76668; without 76667 itself that is 1, so 76667 is deficient (1 is less than 76667). Euler's totient φ(76667) = 76666 numbers up to 76667 share no factor with it.
- 4
The digits of 76667 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
76667 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76668 |
| Euler totient φ(n) | 76666 |
| Square | 5877828889 |
| Cube | 450635507432963 |
| Square root | 276.888064 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.6667 × |
76667 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand six hundred and sixty-seven |
| Binary (base 2) | 10010101101111011 |
| Octal (base 8) | 225573 |
| Hexadecimal (base 16) | 12B7B |
| Base 3 | 10220011112 |
| As time | 76667 seconds = 21 h 17 min 47 s |
Is 76667 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 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 5) | 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 8) | 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 76667 a prime number?
Yes. 76667 is divisible only by 1 and itself.
What are the factors of 76667?
1, 76667.
What is 76667 in binary?
10010101101111011 (hexadecimal 12B7B, octal 225573).
What is the square root of 76667?
About 276.8881.
Is 76667 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 76667?
76667 is a palindromic prime: it reads the same backwards and is prime; the 7540th prime number; a palindrome: it reads 76667 backwards too.