The number 52967
52967 is the 5405th prime number. Its only divisors are 1 and 52967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52967: the 5405th prime number.
- 2
52967 is prime, so its only factors are 1 and 52967. It is the 5405th prime; the next prime is 52973 and the one before is 52963.
- 3
The divisors add up to 52968; without 52967 itself that is 1, so 52967 is deficient (1 is less than 52967). Euler's totient φ(52967) = 52966 numbers up to 52967 share no factor with it.
- 4
The digits of 52967 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 246 steps to reach 1.
52967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52968 |
| Euler totient φ(n) | 52966 |
| Square | 2805503089 |
| Cube | 148599082115063 |
| Square root | 230.145606 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 246 |
| Scientific notation | 5.2967 × |
52967 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand nine hundred and sixty-seven |
| Binary (base 2) | 1100111011100111 |
| Octal (base 8) | 147347 |
| Hexadecimal (base 16) | CEE7 |
| Base 3 | 2200122202 |
| As time | 52967 seconds = 14 h 42 min 47 s |
Is 52967 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 5) | 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 2) | 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 52967 a prime number?
Yes. 52967 is divisible only by 1 and itself.
What are the factors of 52967?
1, 52967.
What is 52967 in binary?
1100111011100111 (hexadecimal CEE7, octal 147347).
What is the square root of 52967?
About 230.1456.
Is 52967 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 52967?
52967 is the 5405th prime number.