The number 336
336 is a composite number with 20 divisors. Its prime factorisation is × 3 × 7. Divisors (20): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 336: a Harshad number: divisible by its digit sum 12.
- 2
336 is composite. Its prime factorisation is
- 3
The divisors add up to 992; without 336 itself that is 656, so 336 is abundant (656 is more than 336). Euler's totient φ(336) = 96 numbers up to 336 share no factor with it.
- 4
The digits of 336 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 11 steps to reach 1.
LaTeX source of the formulas on this page
\[ 336 = 2^{4} \times 3 \times 7 \]336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 992 |
| Euler totient φ(n) | 96 |
| Square | 112896 |
| Cube | 37933056 |
| Square root | 18.330303 (= 4√21) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 11 |
| Scientific notation | 3.36 × |
336 in other forms
| Form | Value |
|---|---|
| In words | three hundred and thirty-six |
| Roman numerals | CCCXXXVI |
| Binary (base 2) | 101010000 |
| Octal (base 8) | 520 |
| Hexadecimal (base 16) | 150 |
| Base 3 | 110110 |
| As time | 336 seconds = 5 min 36 s |
Is 336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (336 ÷ 2 = 168) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (336 ÷ 3 = 112) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (336 ÷ 4 = 84) | 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 | Yes (336 ÷ 6 = 56) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (336 ÷ 7 = 48) | 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 (336 ÷ 8 = 42) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (336 ÷ 12 = 28) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 336 a prime number?
No. 336 = × 3 × 7, so it is divisible by 2.
What are the factors of 336?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336.
What is 336 in binary?
101010000 (hexadecimal 150, octal 520).
What is the square root of 336?
About 18.3303, exactly 4√21.
What is 336 in Roman numerals?
CCCXXXVI.
Is 336 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 336?
336 is a Harshad number: divisible by its digit sum 12.