The number 12997
12997 is a composite number with 4 divisors. Its prime factorisation is 41 × 317. Divisors (4): 1, 41, 317, 12997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12997: a semiprime: 41 × 317, the product of two primes.
- 2
12997 is composite. Its prime factorisation is
- 3
The divisors add up to 13356; without 12997 itself that is 359, so 12997 is deficient (359 is less than 12997). Euler's totient φ(12997) = 12640 numbers up to 12997 share no factor with it.
- 4
The digits of 12997 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12997 = 41 \times 317 \]
12997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13356 |
| Euler totient φ(n) | 12640 |
| Square | 168922009 |
| Cube | 2195479350973 |
| Square root | 114.004386 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.2997 × |
12997 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and ninety-seven |
| Binary (base 2) | 11001011000101 |
| Octal (base 8) | 31305 |
| Hexadecimal (base 16) | 32C5 |
| Base 3 | 122211101 |
| As time | 12997 seconds = 3 h 36 min 37 s |
Is 12997 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 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 12997 a prime number?
No. 12997 = 41 × 317, so it is divisible by 41.
What are the factors of 12997?
1, 41, 317, 12997.
What is 12997 in binary?
11001011000101 (hexadecimal 32C5, octal 31305).
What is the square root of 12997?
About 114.0044.
Is 12997 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 12997?
12997 is a semiprime: 41 × 317, the product of two primes.