The number 12998
12998 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 97. Divisors (8): 1, 2, 67, 97, 134, 194, 6499, 12998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12998 is composite. Its prime factorisation is
- 3
The divisors add up to 19992; without 12998 itself that is 6994, so 12998 is deficient (6994 is less than 12998). Euler's totient φ(12998) = 6336 numbers up to 12998 share no factor with it.
- 4
The digits of 12998 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12998 = 2 \times 67 \times 97 \]
12998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19992 |
| Euler totient φ(n) | 6336 |
| Square | 168948004 |
| Cube | 2195986155992 |
| Square root | 114.008772 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.2998 × |
12998 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and ninety-eight |
| Binary (base 2) | 11001011000110 |
| Octal (base 8) | 31306 |
| Hexadecimal (base 16) | 32C6 |
| Base 3 | 122211102 |
| As time | 12998 seconds = 3 h 36 min 38 s |
Is 12998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12998 ÷ 2 = 6499) | 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 2) | 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 2) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12998 a prime number?
No. 12998 = 2 × 67 × 97, so it is divisible by 2.
What are the factors of 12998?
1, 2, 67, 97, 134, 194, 6499, 12998.
What is 12998 in binary?
11001011000110 (hexadecimal 32C6, octal 31306).
What is the square root of 12998?
About 114.0088.
Is 12998 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 12998?
It is a composite number with 8 divisors.