The number 13362
13362 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 131. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 131, 262, 393, 786, 2227, 4454, 6681, 13362.
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How to work it out
- 1
13362 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13362 is composite. Its prime factorisation is
- 3
The divisors add up to 28512; without 13362 itself that is 15150, so 13362 is abundant (15150 is more than 13362). Euler's totient φ(13362) = 4160 numbers up to 13362 share no factor with it.
- 4
The digits of 13362 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13362 = 2 \times 3 \times 17 \times 131 \]
13362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28512 |
| Euler totient φ(n) | 4160 |
| Square | 178543044 |
| Cube | 2385692153928 |
| Square root | 115.594117 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3362 × |
13362 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and sixty-two |
| Binary (base 2) | 11010000110010 |
| Octal (base 8) | 32062 |
| Hexadecimal (base 16) | 3432 |
| Base 3 | 200022220 |
| As time | 13362 seconds = 3 h 42 min 42 s |
Is 13362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13362 ÷ 2 = 6681) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13362 ÷ 3 = 4454) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13362 ÷ 6 = 2227) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 13362 a prime number?
No. 13362 = 2 × 3 × 17 × 131, so it is divisible by 2.
What are the factors of 13362?
1, 2, 3, 6, 17, 34, 51, 102, 131, 262, 393, 786, 2227, 4454, 6681, 13362.
What is 13362 in binary?
11010000110010 (hexadecimal 3432, octal 32062).
What is the square root of 13362?
About 115.5941.
Is 13362 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13362?
It is a composite number with 16 divisors.