The number 12973
12973 is the 1545th prime number. Its only divisors are 1 and 12973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12973: the 1545th prime number.
- 2
12973 is prime, so its only factors are 1 and 12973. It is the 1545th prime; the next prime is 12979 and the one before is 12967.
- 3
The divisors add up to 12974; without 12973 itself that is 1, so 12973 is deficient (1 is less than 12973). Euler's totient φ(12973) = 12972 numbers up to 12973 share no factor with it.
- 4
The digits of 12973 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
12973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12974 |
| Euler totient φ(n) | 12972 |
| Square | 168298729 |
| Cube | 2183339411317 |
| Square root | 113.899078 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.2973 × |
12973 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and seventy-three |
| Binary (base 2) | 11001010101101 |
| Octal (base 8) | 31255 |
| Hexadecimal (base 16) | 32AD |
| Base 3 | 122210111 |
| As time | 12973 seconds = 3 h 36 min 13 s |
Is 12973 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12973 a prime number?
Yes. 12973 is divisible only by 1 and itself.
What are the factors of 12973?
1, 12973.
What is 12973 in binary?
11001010101101 (hexadecimal 32AD, octal 31255).
What is the square root of 12973?
About 113.8991.
Is 12973 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 12973?
12973 is the 1545th prime number.