The number 13422
13422 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2237. Divisors (8): 1, 2, 3, 6, 2237, 4474, 6711, 13422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13422 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13422 is composite. Its prime factorisation is
- 3
The divisors add up to 26856; without 13422 itself that is 13434, so 13422 is abundant (13434 is more than 13422). Euler's totient φ(13422) = 4472 numbers up to 13422 share no factor with it.
- 4
The digits of 13422 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13422 = 2 \times 3 \times 2237 \]
13422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26856 |
| Euler totient φ(n) | 4472 |
| Square | 180150084 |
| Cube | 2417974427448 |
| Square root | 115.853356 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3422 × |
13422 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and twenty-two |
| Binary (base 2) | 11010001101110 |
| Octal (base 8) | 32156 |
| Hexadecimal (base 16) | 346E |
| Base 3 | 200102010 |
| As time | 13422 seconds = 3 h 43 min 42 s |
Is 13422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13422 ÷ 2 = 6711) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13422 ÷ 3 = 4474) | 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 (13422 ÷ 6 = 2237) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 13422 a prime number?
No. 13422 = 2 × 3 × 2237, so it is divisible by 2.
What are the factors of 13422?
1, 2, 3, 6, 2237, 4474, 6711, 13422.
What is 13422 in binary?
11010001101110 (hexadecimal 346E, octal 32156).
What is the square root of 13422?
About 115.8534.
Is 13422 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13422?
It is a composite number with 8 divisors.