The number 13342
13342 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 953. Divisors (8): 1, 2, 7, 14, 953, 1906, 6671, 13342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13342 is composite. Its prime factorisation is
- 3
The divisors add up to 22896; without 13342 itself that is 9554, so 13342 is deficient (9554 is less than 13342). Euler's totient φ(13342) = 5712 numbers up to 13342 share no factor with it.
- 4
The digits of 13342 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13342 = 2 \times 7 \times 953 \]
13342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22896 |
| Euler totient φ(n) | 5712 |
| Square | 178008964 |
| Cube | 2374995597688 |
| Square root | 115.507576 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3342 × |
13342 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and forty-two |
| Binary (base 2) | 11010000011110 |
| Octal (base 8) | 32036 |
| Hexadecimal (base 16) | 341E |
| Base 3 | 200022011 |
| As time | 13342 seconds = 3 h 42 min 22 s |
Is 13342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13342 ÷ 2 = 6671) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13342 ÷ 7 = 1906) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13342 a prime number?
No. 13342 = 2 × 7 × 953, so it is divisible by 2.
What are the factors of 13342?
1, 2, 7, 14, 953, 1906, 6671, 13342.
What is 13342 in binary?
11010000011110 (hexadecimal 341E, octal 32036).
What is the square root of 13342?
About 115.5076.
Is 13342 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13342?
It is a composite number with 8 divisors.