The number 77267
77267 is a twin prime (77267 and 77269 are both prime) and the 7592nd prime number. Its only divisors are 1 and 77267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77267: a twin prime (77267 and 77269 are both prime); the 7592nd prime number.
- 2
77267 is prime, so its only factors are 1 and 77267. It is the 7592nd prime; the next prime is 77269 and the one before is 77263.
- 3
The divisors add up to 77268; without 77267 itself that is 1, so 77267 is deficient (1 is less than 77267). Euler's totient φ(77267) = 77266 numbers up to 77267 share no factor with it.
- 4
The digits of 77267 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 112 steps to reach 1.
77267 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77268 |
| Euler totient φ(n) | 77266 |
| Square | 5970189289 |
| Cube | 461298615793163 |
| Square root | 277.969423 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.7267 × |
77267 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and sixty-seven |
| Binary (base 2) | 10010110111010011 |
| Octal (base 8) | 226723 |
| Hexadecimal (base 16) | 12DD3 |
| Base 3 | 10220222202 |
| As time | 77267 seconds = 21 h 27 min 47 s |
Is 77267 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 1) | 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 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 3) | 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 77267 a prime number?
Yes. 77267 is divisible only by 1 and itself.
What are the factors of 77267?
1, 77267.
What is 77267 in binary?
10010110111010011 (hexadecimal 12DD3, octal 226723).
What is the square root of 77267?
About 277.9694.
Is 77267 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77267?
77267 is a twin prime (77267 and 77269 are both prime); the 7592nd prime number.