The number 13622
13622 is a composite number with 12 divisors. Its prime factorisation is 2 × × 139. Divisors (12): 1, 2, 7, 14, 49, 98, 139, 278, 973, 1946, 6811, 13622.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13622: a Harshad number: divisible by its digit sum 14.
- 2
13622 is composite. Its prime factorisation is
- 3
The divisors add up to 23940; without 13622 itself that is 10318, so 13622 is deficient (10318 is less than 13622). Euler's totient φ(13622) = 5796 numbers up to 13622 share no factor with it.
- 4
The digits of 13622 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13622 = 2 \times 7^{2} \times 139 \]13622 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23940 |
| Euler totient φ(n) | 5796 |
| Square | 185558884 |
| Cube | 2527683117848 |
| Square root | 116.713324 (= 7√278) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3622 × |
13622 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and twenty-two |
| Binary (base 2) | 11010100110110 |
| Octal (base 8) | 32466 |
| Hexadecimal (base 16) | 3536 |
| Base 3 | 200200112 |
| As time | 13622 seconds = 3 h 47 min 2 s |
Is 13622 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13622 ÷ 2 = 6811) | 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 | Yes (13622 ÷ 7 = 1946) | 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 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 | No (remainder 4) | 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 13622 a prime number?
No. 13622 = 2 × × 139, so it is divisible by 2.
What are the factors of 13622?
1, 2, 7, 14, 49, 98, 139, 278, 973, 1946, 6811, 13622.
What is 13622 in binary?
11010100110110 (hexadecimal 3536, octal 32466).
What is the square root of 13622?
About 116.7133, exactly 7√278.
Is 13622 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13622?
13622 is a Harshad number: divisible by its digit sum 14.