The number 1336
1336 is a composite number with 8 divisors. Its prime factorisation is × 167. Divisors (8): 1, 2, 4, 8, 167, 334, 668, 1336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1336 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1336 is composite. Its prime factorisation is
- 3
The divisors add up to 2520; without 1336 itself that is 1184, so 1336 is deficient (1184 is less than 1336). Euler's totient φ(1336) = 664 numbers up to 1336 share no factor with it.
- 4
The digits of 1336 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1336 = 2^{3} \times 167 \]1336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2520 |
| Euler totient φ(n) | 664 |
| Square | 1784896 |
| Cube | 2384621056 |
| Square root | 36.551334 (= 2√334) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 1.336 × |
1336 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty-six |
| Roman numerals | MCCCXXXVI |
| Binary (base 2) | 10100111000 |
| Octal (base 8) | 2470 |
| Hexadecimal (base 16) | 538 |
| Base 3 | 1211111 |
| As time | 1336 seconds = 22 min 16 s |
Is 1336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1336 ÷ 2 = 668) | 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 | Yes (1336 ÷ 4 = 334) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (1336 ÷ 8 = 167) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1336 a prime number?
No. 1336 = × 167, so it is divisible by 2.
What are the factors of 1336?
1, 2, 4, 8, 167, 334, 668, 1336.
What is 1336 in binary?
10100111000 (hexadecimal 538, octal 2470).
What is the square root of 1336?
About 36.5513, exactly 2√334.
What is 1336 in Roman numerals?
MCCCXXXVI.
Is 1336 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1336?
It is a composite number with 8 divisors.