The number 13442
13442 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 13 × 47. Divisors (16): 1, 2, 11, 13, 22, 26, 47, 94, 143, 286, 517, 611, 1034, 1222, 6721, 13442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13442 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 13442 itself that is 10750, so 13442 is deficient (10750 is less than 13442). Euler's totient φ(13442) = 5520 numbers up to 13442 share no factor with it.
- 4
The digits of 13442 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13442 = 2 \times 11 \times 13 \times 47 \]
13442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 5520 |
| Square | 180687364 |
| Cube | 2428799546888 |
| Square root | 115.939639 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3442 × |
13442 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and forty-two |
| Binary (base 2) | 11010010000010 |
| Octal (base 8) | 32202 |
| Hexadecimal (base 16) | 3482 |
| Base 3 | 200102212 |
| As time | 13442 seconds = 3 h 44 min 2 s |
Is 13442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13442 ÷ 2 = 6721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 | Yes (13442 ÷ 11 = 1222) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13442 a prime number?
No. 13442 = 2 × 11 × 13 × 47, so it is divisible by 2.
What are the factors of 13442?
1, 2, 11, 13, 22, 26, 47, 94, 143, 286, 517, 611, 1034, 1222, 6721, 13442.
What is 13442 in binary?
11010010000010 (hexadecimal 3482, octal 32202).
What is the square root of 13442?
About 115.9396.
Is 13442 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13442?
It is a composite number with 16 divisors.