The number 13222
13222 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 601. Divisors (8): 1, 2, 11, 22, 601, 1202, 6611, 13222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13222 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13222 is composite. Its prime factorisation is
- 3
The divisors add up to 21672; without 13222 itself that is 8450, so 13222 is deficient (8450 is less than 13222). Euler's totient φ(13222) = 6000 numbers up to 13222 share no factor with it.
- 4
The digits of 13222 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13222 = 2 \times 11 \times 601 \]
13222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21672 |
| Euler totient φ(n) | 6000 |
| Square | 174821284 |
| Cube | 2311487017048 |
| Square root | 114.986956 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3222 × |
13222 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and twenty-two |
| Binary (base 2) | 11001110100110 |
| Octal (base 8) | 31646 |
| Hexadecimal (base 16) | 33A6 |
| Base 3 | 200010201 |
| As time | 13222 seconds = 3 h 40 min 22 s |
Is 13222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13222 ÷ 2 = 6611) | 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 | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 (13222 ÷ 11 = 1202) | 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 13222 a prime number?
No. 13222 = 2 × 11 × 601, so it is divisible by 2.
What are the factors of 13222?
1, 2, 11, 22, 601, 1202, 6611, 13222.
What is 13222 in binary?
11001110100110 (hexadecimal 33A6, octal 31646).
What is the square root of 13222?
About 114.9870.
Is 13222 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13222?
It is a composite number with 8 divisors.