The number 1208
1208 is a composite number with 8 divisors. Its prime factorisation is × 151. Divisors (8): 1, 2, 4, 8, 151, 302, 604, 1208.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1208 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1208 is composite. Its prime factorisation is
- 3
The divisors add up to 2280; without 1208 itself that is 1072, so 1208 is deficient (1072 is less than 1208). Euler's totient φ(1208) = 600 numbers up to 1208 share no factor with it.
- 4
The digits of 1208 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1208 = 2^{3} \times 151 \]1208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2280 |
| Euler totient φ(n) | 600 |
| Square | 1459264 |
| Cube | 1762790912 |
| Square root | 34.756294 (= 2√302) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.208 × |
1208 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and eight |
| Roman numerals | MCCVIII |
| Binary (base 2) | 10010111000 |
| Octal (base 8) | 2270 |
| Hexadecimal (base 16) | 4B8 |
| Base 3 | 1122202 |
| As time | 1208 seconds = 20 min 8 s |
Is 1208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1208 ÷ 2 = 604) | 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 | Yes (1208 ÷ 4 = 302) | 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 4) | 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 | Yes (1208 ÷ 8 = 151) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1208 a prime number?
No. 1208 = × 151, so it is divisible by 2.
What are the factors of 1208?
1, 2, 4, 8, 151, 302, 604, 1208.
What is 1208 in binary?
10010111000 (hexadecimal 4B8, octal 2270).
What is the square root of 1208?
About 34.7563, exactly 2√302.
What is 1208 in Roman numerals?
MCCVIII.
Is 1208 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1208?
It is a composite number with 8 divisors.