The number 1199
1199 is a composite number with 4 divisors. Its prime factorisation is 11 × 109. Divisors (4): 1, 11, 109, 1199.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1199: a semiprime: 11 × 109, the product of two primes.
- 2
1199 is composite. Its prime factorisation is
- 3
The divisors add up to 1320; without 1199 itself that is 121, so 1199 is deficient (121 is less than 1199). Euler's totient φ(1199) = 1080 numbers up to 1199 share no factor with it.
- 4
The digits of 1199 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1199 = 11 \times 109 \]
1199 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1320 |
| Euler totient φ(n) | 1080 |
| Square | 1437601 |
| Cube | 1723683599 |
| Square root | 34.626579 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 1.199 × |
1199 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and ninety-nine |
| Roman numerals | MCXCIX |
| Binary (base 2) | 10010101111 |
| Octal (base 8) | 2257 |
| Hexadecimal (base 16) | 4AF |
| Base 3 | 1122102 |
| As time | 1199 seconds = 19 min 59 s |
Is 1199 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1199 ÷ 11 = 109) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1199 a prime number?
No. 1199 = 11 × 109, so it is divisible by 11.
What are the factors of 1199?
1, 11, 109, 1199.
What is 1199 in binary?
10010101111 (hexadecimal 4AF, octal 2257).
What is the square root of 1199?
About 34.6266.
What is 1199 in Roman numerals?
MCXCIX.
Is 1199 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 1199?
1199 is a semiprime: 11 × 109, the product of two primes.