The number 53622
53622 is a composite number with 20 divisors. Its prime factorisation is 2 × × 331. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 331, 662, 993, 1986, 2979, 5958 … 53622.
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How to work it out
- 1
What is special about 53622: a Harshad number: divisible by its digit sum 18.
- 2
53622 is composite. Its prime factorisation is
- 3
The divisors add up to 120516; without 53622 itself that is 66894, so 53622 is abundant (66894 is more than 53622). Euler's totient φ(53622) = 17820 numbers up to 53622 share no factor with it.
- 4
The digits of 53622 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53622 = 2 \times 3^{4} \times 331 \]53622 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 120516 |
| Euler totient φ(n) | 17820 |
| Square | 2875318884 |
| Cube | 154180349197848 |
| Square root | 231.564246 (= 9√662) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3622 × |
53622 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred and twenty-two |
| Binary (base 2) | 1101000101110110 |
| Octal (base 8) | 150566 |
| Hexadecimal (base 16) | D176 |
| Base 3 | 2201120000 |
| As time | 53622 seconds = 14 h 53 min 42 s |
Is 53622 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53622 ÷ 2 = 26811) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53622 ÷ 3 = 17874) | 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 (53622 ÷ 6 = 8937) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53622 ÷ 9 = 5958) | 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 8) | 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 53622 a prime number?
No. 53622 = 2 × × 331, so it is divisible by 2.
What are the factors of 53622?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 331, 662, 993, 1986, 2979, 5958, 8937, 17874, 26811, 53622.
What is 53622 in binary?
1101000101110110 (hexadecimal D176, octal 150566).
What is the square root of 53622?
About 231.5642, exactly 9√662.
Is 53622 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53622?
53622 is a Harshad number: divisible by its digit sum 18.