The number 1198
1198 is a composite number with 4 divisors. Its prime factorisation is 2 × 599. Divisors (4): 1, 2, 599, 1198.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1198: a semiprime: 2 × 599, the product of two primes.
- 2
1198 is composite. Its prime factorisation is
- 3
The divisors add up to 1800; without 1198 itself that is 602, so 1198 is deficient (602 is less than 1198). Euler's totient φ(1198) = 598 numbers up to 1198 share no factor with it.
- 4
The digits of 1198 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1198 = 2 \times 599 \]
1198 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1800 |
| Euler totient φ(n) | 598 |
| Square | 1435204 |
| Cube | 1719374392 |
| Square root | 34.612137 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 1.198 × |
1198 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and ninety-eight |
| Roman numerals | MCXCVIII |
| Binary (base 2) | 10010101110 |
| Octal (base 8) | 2256 |
| Hexadecimal (base 16) | 4AE |
| Base 3 | 1122101 |
| As time | 1198 seconds = 19 min 58 s |
Is 1198 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1198 ÷ 2 = 599) | 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 | No (remainder 1) | 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 10) | 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 1198 a prime number?
No. 1198 = 2 × 599, so it is divisible by 2.
What are the factors of 1198?
1, 2, 599, 1198.
What is 1198 in binary?
10010101110 (hexadecimal 4AE, octal 2256).
What is the square root of 1198?
About 34.6121.
What is 1198 in Roman numerals?
MCXCVIII.
Is 1198 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1198?
1198 is a semiprime: 2 × 599, the product of two primes.