The number 12967
12967 is the 1544th prime number. Its only divisors are 1 and 12967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12967: the 1544th prime number.
- 2
12967 is prime, so its only factors are 1 and 12967. It is the 1544th prime; the next prime is 12973 and the one before is 12959.
- 3
The divisors add up to 12968; without 12967 itself that is 1, so 12967 is deficient (1 is less than 12967). Euler's totient φ(12967) = 12966 numbers up to 12967 share no factor with it.
- 4
The digits of 12967 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
12967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12968 |
| Euler totient φ(n) | 12966 |
| Square | 168143089 |
| Cube | 2180311435063 |
| Square root | 113.872736 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.2967 × |
12967 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and sixty-seven |
| Binary (base 2) | 11001010100111 |
| Octal (base 8) | 31247 |
| Hexadecimal (base 16) | 32A7 |
| Base 3 | 122210021 |
| As time | 12967 seconds = 3 h 36 min 7 s |
Is 12967 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 1) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12967 a prime number?
Yes. 12967 is divisible only by 1 and itself.
What are the factors of 12967?
1, 12967.
What is 12967 in binary?
11001010100111 (hexadecimal 32A7, octal 31247).
What is the square root of 12967?
About 113.8727.
Is 12967 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 12967?
12967 is the 1544th prime number.