The number 54767
54767 is the 5571st prime number. Its only divisors are 1 and 54767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54767: the 5571st prime number.
- 2
54767 is prime, so its only factors are 1 and 54767. It is the 5571st prime; the next prime is 54773 and the one before is 54751.
- 3
The divisors add up to 54768; without 54767 itself that is 1, so 54767 is deficient (1 is less than 54767). Euler's totient φ(54767) = 54766 numbers up to 54767 share no factor with it.
- 4
The digits of 54767 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 140 steps to reach 1.
54767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 54768 |
| Euler totient φ(n) | 54766 |
| Square | 2999424289 |
| Cube | 164269470035663 |
| Square root | 234.023503 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.4767 × |
54767 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and sixty-seven |
| Binary (base 2) | 1101010111101111 |
| Octal (base 8) | 152757 |
| Hexadecimal (base 16) | D5EF |
| Base 3 | 2210010102 |
| As time | 54767 seconds = 15 h 12 min 47 s |
Is 54767 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 6) | 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 9) | 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 54767 a prime number?
Yes. 54767 is divisible only by 1 and itself.
What are the factors of 54767?
1, 54767.
What is 54767 in binary?
1101010111101111 (hexadecimal D5EF, octal 152757).
What is the square root of 54767?
About 234.0235.
Is 54767 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 54767?
54767 is the 5571st prime number.