The number 11998
11998 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 857. Divisors (8): 1, 2, 7, 14, 857, 1714, 5999, 11998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11998 is composite. Its prime factorisation is
- 3
The divisors add up to 20592; without 11998 itself that is 8594, so 11998 is deficient (8594 is less than 11998). Euler's totient φ(11998) = 5136 numbers up to 11998 share no factor with it.
- 4
The digits of 11998 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11998 = 2 \times 7 \times 857 \]
11998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20592 |
| Euler totient φ(n) | 5136 |
| Square | 143952004 |
| Cube | 1727136143992 |
| Square root | 109.535382 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 187 |
| Scientific notation | 1.1998 × |
11998 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and ninety-eight |
| Binary (base 2) | 10111011011110 |
| Octal (base 8) | 27336 |
| Hexadecimal (base 16) | 2EDE |
| Base 3 | 121110101 |
| As time | 11998 seconds = 3 h 19 min 58 s |
Is 11998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11998 ÷ 2 = 5999) | 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 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11998 ÷ 7 = 1714) | 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11998 a prime number?
No. 11998 = 2 × 7 × 857, so it is divisible by 2.
What are the factors of 11998?
1, 2, 7, 14, 857, 1714, 5999, 11998.
What is 11998 in binary?
10111011011110 (hexadecimal 2EDE, octal 27336).
What is the square root of 11998?
About 109.5354.
Is 11998 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 11998?
It is a composite number with 8 divisors.