The number 13338
13338 is a composite number with 32 divisors. Its prime factorisation is 2 × × 13 × 19. Divisors (32): 1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 114 … 13338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13338: a Harshad number: divisible by its digit sum 18.
- 2
13338 is composite. Its prime factorisation is
- 3
The divisors add up to 33600; without 13338 itself that is 20262, so 13338 is abundant (20262 is more than 13338). Euler's totient φ(13338) = 3888 numbers up to 13338 share no factor with it.
- 4
The digits of 13338 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13338 = 2 \times 3^{3} \times 13 \times 19 \]13338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 33600 |
| Euler totient φ(n) | 3888 |
| Square | 177902244 |
| Cube | 2372860130472 |
| Square root | 115.490259 (= 3√1482) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3338 × |
13338 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-eight |
| Binary (base 2) | 11010000011010 |
| Octal (base 8) | 32032 |
| Hexadecimal (base 16) | 341A |
| Base 3 | 200022000 |
| As time | 13338 seconds = 3 h 42 min 18 s |
Is 13338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13338 ÷ 2 = 6669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13338 ÷ 3 = 4446) | 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 | Yes (13338 ÷ 6 = 2223) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13338 ÷ 9 = 1482) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13338 a prime number?
No. 13338 = 2 × × 13 × 19, so it is divisible by 2.
What are the factors of 13338?
1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 114, 117, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1482, 2223, 4446, 6669, 13338.
What is 13338 in binary?
11010000011010 (hexadecimal 341A, octal 32032).
What is the square root of 13338?
About 115.4903, exactly 3√1482.
Is 13338 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13338?
13338 is a Harshad number: divisible by its digit sum 18.